{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T09:51:23Z","timestamp":1772358683127,"version":"3.50.1"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Ann."],"published-print":{"date-parts":[[2024,5]]},"DOI":"10.1007\/s00208-023-02643-5","type":"journal-article","created":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T18:02:05Z","timestamp":1685642525000},"page":"85-119","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stability of the symplectomorphism groups of rational surfaces"],"prefix":"10.1007","volume":"389","author":[{"given":"S\u00edlvia","family":"Anjos","sequence":"first","affiliation":[]},{"given":"Jun","family":"Li","sequence":"additional","affiliation":[]},{"given":"Tian-Jun","family":"Li","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2313-3378","authenticated-orcid":false,"given":"Martin","family":"Pinsonnault","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,6,1]]},"reference":[{"key":"2643_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s002220050196","volume":"131","author":"M Abreu","year":"1998","unstructured":"Abreu, M.: Topology of symplectomorphism groups of $$S^2\\times S^2$$. Invent. Math. 131, 1\u201323 (1998)","journal-title":"Invent. Math."},{"key":"2643_CR2","doi-asserted-by":"publisher","first-page":"971","DOI":"10.1090\/S0894-0347-00-00344-1","volume":"13","author":"M Abreu","year":"2000","unstructured":"Abreu, M., McDuff, D.: Topology of symplectomorphism groups of rational ruled surfaces. J. Am. Math. Soc 13, 971\u20131009 (2000)","journal-title":"J. Am. Math. Soc"},{"issue":"1","key":"2643_CR3","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1307\/mmj\/1547089467","volume":"68","author":"S Anjos","year":"2019","unstructured":"Anjos, S., Eden, S.: The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of $$S^2\\times S^2, \\omega _{std}\\bigoplus \\omega _{std}$$. Michigan Math. J. 68(1), 71\u2013126 (2019)","journal-title":"Michigan Math. J."},{"issue":"2","key":"2643_CR4","doi-asserted-by":"publisher","first-page":"1177","DOI":"10.2140\/gt.2009.13.1177","volume":"13","author":"S Anjos","year":"2009","unstructured":"Anjos, S., Lalonde, F., Pinsonnault, M.: The homotopy type of the space of symplectic balls in rational ruled 4-manifolds. Geom. Topol. 13(2), 1177\u20131227 (2009)","journal-title":"Geom. Topol."},{"issue":"1\u20132","key":"2643_CR5","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1007\/s00209-012-1134-5","volume":"275","author":"S Anjos","year":"2013","unstructured":"Anjos, S., Pinsonnault, M.: The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane. Math. Z 275(1\u20132), 245\u2013292 (2013)","journal-title":"Math. Z"},{"issue":"1","key":"2643_CR6","doi-asserted-by":"publisher","first-page":"287","DOI":"10.5802\/aif.1674","volume":"49","author":"N Buchdahl","year":"1999","unstructured":"Buchdahl, N.: On compact K\u00e4hler surfaces. Ann. Inst. Fourier (Grenoble) 49(1), 287\u2013302 (1999)","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"issue":"2","key":"2643_CR7","doi-asserted-by":"publisher","first-page":"147","DOI":"10.4310\/JSG.2011.v9.n2.a3","volume":"9","author":"O Buse","year":"2011","unstructured":"Buse, O.: Negative inflation and stability in symplectomorphism groups of ruled surfaces. J. Symplectic Geom. 9(2), 147\u2013160 (2011)","journal-title":"J. Symplectic Geom."},{"key":"2643_CR8","unstructured":"Chakravarthy, P., Pinsonnault, M.: Notes on $$J$$-tamed inflation. Preprint, (2019)"},{"key":"2643_CR9","first-page":"1","volume":"14","author":"W Chen","year":"2020","unstructured":"Chen, W.: Finite group actions on symplectic Calabi-Yau 4-manifolds with $$b_1>0$$. J. G\u00f6kova Geom. Topol. GGT 14, 1\u201354 (2020)","journal-title":"J. G\u00f6kova Geom. Topol. GGT"},{"issue":"3","key":"2643_CR10","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.4007\/annals.2004.159.1247","volume":"159","author":"J Demailly","year":"2004","unstructured":"Demailly, J., Paun, M.: Numerical characterization of the K\u00e4hler cone of a compact K\u00e4hler manifold. Ann. Math. 159(3), 1247\u20131274 (2004)","journal-title":"Ann. Math."},{"key":"2643_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0085872","volume-title":"Surfaces de del Pezzo, II in S\u00e9minaire sur les Singularit\u00e9s des. Surfaces Lecture Notes in Mathematics","author":"M Demazure","year":"1980","unstructured":"Demazure, M.: Surfaces de del Pezzo, II in S\u00e9minaire sur les Singularit\u00e9s des. Surfaces Lecture Notes in Mathematics, vol. 777. Springer, Berlin (1980)"},{"issue":"1","key":"2643_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4310\/JSG.2010.v8.n1.a1","volume":"8","author":"JG Dorfmeister","year":"2010","unstructured":"Dorfmeister, J.G., Li, T.-J.: The relative symplectic cone and $$T^2$$-fibrations. J. Symplectic Geom. 8(1), 1\u201335 (2010)","journal-title":"J. Symplectic Geom."},{"key":"2643_CR13","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1515\/crelle-2015-0083","volume":"742","author":"JG Dorfmeister","year":"2018","unstructured":"Dorfmeister, J.G., Li, T.-J., Wu, W.: Stability and existence of surfaces in symplectic 4-manifolds with $$b^+=1$$. J. Reine Angew. Math. 742, 115\u2013155 (2018)","journal-title":"J. Reine Angew. Math."},{"issue":"4","key":"2643_CR14","doi-asserted-by":"publisher","first-page":"1089","DOI":"10.4310\/JSG.2017.v15.n4.a5","volume":"15","author":"Y Karshon","year":"2017","unstructured":"Karshon, Y., Kessler, L.: Distinguishing symplectic blowups of the complex projective plane. J. Symplectic Geom. 15(4), 1089\u20131128 (2017)","journal-title":"J. Symplectic Geom."},{"key":"2643_CR15","unstructured":"Kronheimer, P.: Some non-trivial families of symplectic structures. Preprint (1999)"},{"key":"2643_CR16","volume-title":"$$J$$-curves and the classification of rational and ruled symplectic 4-manifolds. Contact and symplectic geometry (Cambridge, 1994), 3-42, Publ. Newton Inst., 8","author":"F Lalonde","year":"1996","unstructured":"Lalonde, F., McDuff, D.: $$J$$-curves and the classification of rational and ruled symplectic 4-manifolds. Contact and symplectic geometry (Cambridge, 1994), 3-42, Publ. Newton Inst., 8. Cambridge University Press, Cambridge (1996)"},{"issue":"2","key":"2643_CR17","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1215\/S0012-7094-04-12223-7","volume":"122","author":"F Lalonde","year":"2004","unstructured":"Lalonde, F., Pinsonnault, M.: The topology of the space of symplectic balls in rational 4-manifolds. Duke Math. J. 122(2), 347\u2013397 (2004)","journal-title":"Duke Math. J."},{"issue":"3","key":"2643_CR18","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/S0021-7824(98)00005-1","volume":"78","author":"A Lamari","year":"1999","unstructured":"Lamari, A.: Le c\u00f4ne k\u00e4hl\u00e9rien d\u2019une surface. J. Math. Pures Appl. 78(3), 249\u2013263 (1999)","journal-title":"J. Math. Pures Appl."},{"issue":"1","key":"2643_CR19","doi-asserted-by":"publisher","first-page":"123","DOI":"10.4310\/AJM.2002.v6.n1.a7","volume":"6","author":"B-H Li","year":"2002","unstructured":"Li, B.-H., Li, T.-J.: Symplectic genus, minimal genus and diffeomorphisms. Asian J. Math. 6(1), 123\u2013144 (2002)","journal-title":"Asian J. Math."},{"issue":"2","key":"2643_CR20","doi-asserted-by":"publisher","first-page":"561","DOI":"10.2140\/pjm.2020.304.561","volume":"304","author":"J Li","year":"2020","unstructured":"Li, J., Li, T.-J.: Symplectic $$(-2)$$-spheres and the symplectomorphism group of small rational 4-manifolds. Pacific J. Math. 304(2), 561\u2013606 (2020)","journal-title":"Pacific J. Math."},{"key":"2643_CR21","first-page":"1357","volume":"375","author":"J Li","year":"2022","unstructured":"Li, J., Li, T.-J., Wu, W.: Symplectic $$-2$$ spheres and the symplectomorphism group of small rational 4-manifolds, II. Trans. Am. Math. Soc. 375, 1357\u20131410 (2022)","journal-title":"Trans. Am. Math. Soc."},{"key":"2643_CR22","unstructured":"Li, J., Wu, W.: Topology of symplectomorphism groups and ball-swappings. Proceedings of the International Consortium of Chinese Mathematicians 2018, pp 445\u2013464, Int. Press, Boston, MA, (2020)"},{"key":"2643_CR23","unstructured":"Li, T.-J.: The space of symplectic structures on closed 4-manifolds. Third International Congress of Chinese Mathematicians. Part 1, 2, AMS\/IP Stud. Adv. Math., 42, pt. 1, 2, pp 259\u2013277"},{"issue":"2","key":"2643_CR24","doi-asserted-by":"publisher","first-page":"331","DOI":"10.4310\/jdg\/1090348329","volume":"58","author":"T-J Li","year":"2001","unstructured":"Li, T.-J., Liu, A.-K.: Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with $$B^+=1$$. J. Differ. Geom. 58(2), 331\u2013370 (2001)","journal-title":"J. Differ. Geom."},{"issue":"2","key":"2643_CR25","doi-asserted-by":"publisher","first-page":"1121","DOI":"10.2140\/gt.2012.16.1121","volume":"16","author":"T-J Li","year":"2012","unstructured":"Li, T.-J., Wu, W.: Lagrangian spheres, symplectic surface, and the symplectic mapping class group. Geom. Topol. 16(2), 1121\u20131169 (2012)","journal-title":"Geom. Topol."},{"issue":"4","key":"2643_CR26","doi-asserted-by":"publisher","first-page":"651","DOI":"10.4310\/CAG.2009.v17.n4.a4","volume":"17","author":"T-J Li","year":"2009","unstructured":"Li, T.-J., Zhang, W.: Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds. Commun. Anal. Geom. 17(4), 651\u2013683 (2009)","journal-title":"Commun. Anal. Geom."},{"key":"2643_CR27","unstructured":"McDuff, D.: From symplectic deformation to isotopy. Topics in symplectic $$4$$-manifolds (Irvine, CA, 1996), 85\u201399, First Int. Press Lect. Ser., I, Int. Press, Cambridge, MA"},{"key":"2643_CR28","doi-asserted-by":"crossref","unstructured":"McDuff, D.: Symplectomorphism groups and almost complex structures. Essays on geometry and related topics, Vol. 1, 2, 527-556, Monogr. Enseign. Math., 38, Enseignement Math.,Geneva, (2001)","DOI":"10.1215\/S0012-7094-00-10116-0"},{"key":"2643_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10711-007-9175-3","volume":"132","author":"D McDuff","year":"2008","unstructured":"McDuff, D.: The symplectomorphism group of a blow-up. Geom. Dedicata 132, 1\u201329 (2008)","journal-title":"Geom. Dedicata"},{"key":"2643_CR30","doi-asserted-by":"crossref","unstructured":"McDuff, D., Salamon, D.: Introduction to Symplectic Topology. Oxford Mathematical Monographs, 3rd edition, (2017)","DOI":"10.1093\/oso\/9780198794899.001.0001"},{"issue":"3","key":"2643_CR31","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1112\/S0010437X0700334X","volume":"144","author":"M Pinsonnault","year":"2008","unstructured":"Pinsonnault, M.: Symplectomorphism groups and embeddings of balls into rational ruled 4-manifolds. Compos. Math. 144(3), 787\u2013810 (2008)","journal-title":"Compos. Math."},{"issue":"3","key":"2643_CR32","doi-asserted-by":"publisher","first-page":"431","DOI":"10.3934\/jmd.2008.2.431","volume":"2","author":"M Pinsonnault","year":"2008","unstructured":"Pinsonnault, M.: Maximal compact tori in the Hamiltonian group of 4-dimensional symplectic manifolds. J. Mod. Dyn. 2(3), 431\u2013455 (2008)","journal-title":"J. Mod. Dyn."},{"issue":"1","key":"2643_CR33","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/s40306-012-0004-x","volume":"38","author":"D Salamon","year":"2013","unstructured":"Salamon, D.: Uniqueness of symplectic structures. Acta Math. Vietnam. 38(1), 123\u2013144 (2013)","journal-title":"Acta Math. Vietnam."},{"key":"2643_CR34","unstructured":"Selick, P.: Introduction to homotopy theory. Fields Institute Monographs, 9, American Mathematical Society, Providence, RI, (1997)"},{"key":"2643_CR35","unstructured":"Shevchishin, V.: Secondary Stiefel-Whitney class and diffeomorphisms of rational and ruled symplectic 4-manifolds. ArXiv preprint: arXiv:0904.0283"},{"issue":"1","key":"2643_CR36","doi-asserted-by":"publisher","first-page":"9","DOI":"10.4310\/MRL.1995.v2.n1.a2","volume":"2","author":"CH Taubes","year":"1995","unstructured":"Taubes, C.H.: More constraints on symplectic forms from Seiberg-Witten invariants. Math. Res. Lett. 2(1), 9\u201313 (1995)","journal-title":"Math. Res. Lett."},{"issue":"6","key":"2643_CR37","doi-asserted-by":"publisher","first-page":"1227","DOI":"10.1112\/plms.12062","volume":"115","author":"W Zhang","year":"2017","unstructured":"Zhang, W.: The curve cone of almost complex 4-manifolds. Proc. Lond. Math. Soc. (3) 115(6), 1227\u20131275 (2017)","journal-title":"Proc. Lond. Math. Soc. (3)"},{"issue":"9","key":"2643_CR38","doi-asserted-by":"publisher","first-page":"1275","DOI":"10.1007\/s11425-006-2019-z","volume":"49","author":"X Zhao","year":"2006","unstructured":"Zhao, X., Gao, H., Qiu, H.: The minimal genus problem in rational surfaces $${ C}{\\rm P}^2\\# n\\overline{{ C}{\\rm P}^2}$$. Sci. China Ser. A 49(9), 1275\u20131283 (2006)","journal-title":"Sci. China Ser. A"}],"container-title":["Mathematische Annalen"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00208-023-02643-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00208-023-02643-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00208-023-02643-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,22]],"date-time":"2024-04-22T19:03:04Z","timestamp":1713812584000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00208-023-02643-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,1]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,5]]}},"alternative-id":["2643"],"URL":"https:\/\/doi.org\/10.1007\/s00208-023-02643-5","relation":{},"ISSN":["0025-5831","1432-1807"],"issn-type":[{"value":"0025-5831","type":"print"},{"value":"1432-1807","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,1]]},"assertion":[{"value":"6 February 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 May 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All authors declare that they have no conflicts of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"The authors contributed equally to this work.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Author contribution"}}]}}