{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:20:34Z","timestamp":1759335634886},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Knot Theory Ramifications"],"published-print":{"date-parts":[[2003,3]]},"abstract":"<jats:p>In [3] quandle cohomology is used to produce invariants for particular embeddings of codimension two; 2-cocycles give rise to invariants for (classical) knots and 3-cocycles give rise to invariants for knotted surfaces. This is done by way of a notion of coloring of a diagram. Also, these invariants have the form of the state-sums (or partition functions) used in Statistical Mechanics.<\/jats:p><jats:p>By a careful analysis of these colorings of diagrams we are able to come up with new invariants which correspond to calculation of the partition function at finite temperatures.<\/jats:p>","DOI":"10.1142\/s0218216503002378","type":"journal-article","created":{"date-parts":[[2003,4,1]],"date-time":"2003-04-01T08:22:19Z","timestamp":1049185339000},"page":"159-186","source":"Crossref","is-referenced-by-count":13,"title":["QUANDLES AT FINITE TEMPERATURES I"],"prefix":"10.1142","volume":"12","author":[{"given":"PEDRO","family":"LOPES","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica and Centro de Matem\u00e1tica Aplicada, Instituto Superior T\u00e9cnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","volume-title":"Thermodynamics and an Introduction to Thermostatistics","author":"Callen H. B.","year":"1985"},{"key":"rf2","series-title":"Mathematical Surveys and Monographs","volume-title":"Knotted Surfaces and Their Diagrams","volume":"55","author":"Carter J. S.","year":"1998"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9935-6"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218216592000203"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/BF00872903"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(82)90077-9"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/9789812796387"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1070\/SM1984v047n01ABEH002630"},{"key":"rf13","doi-asserted-by":"crossref","unstructured":"D.\u00a0Roseman, Knot Theory, Reidemeister-Type Moves for Surfaces in Four-Dimensional Space\u00a042, eds. V. F. R.\u00a0Jones (Banach Center Publications, Warsaw, 1998)\u00a0pp. 347\u2013380.","DOI":"10.4064\/-42-1-347-380"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1142\/9789812792679_0024"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01393746"},{"key":"rf16","series-title":"de Gruyter Studies in Mathematics","doi-asserted-by":"crossref","DOI":"10.1515\/9783110883275","volume-title":"Quantum Invariants of Knots and 3-Manifolds","volume":"18","author":"Turaev V.","year":"1994"}],"container-title":["Journal of Knot Theory and Its Ramifications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218216503002378","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,18]],"date-time":"2020-03-18T08:17:22Z","timestamp":1584519442000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218216503002378"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3]]},"references-count":12,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2003,3]]}},"alternative-id":["10.1142\/S0218216503002378"],"URL":"https:\/\/doi.org\/10.1142\/s0218216503002378","relation":{},"ISSN":["0218-2165","1793-6527"],"issn-type":[{"value":"0218-2165","type":"print"},{"value":"1793-6527","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,3]]}}}