Homotopy in statistical physics

In condensed matter physics and related areas, topological defects play important roles in phase transitions
 and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a
 pedagogic introduction to the mathematical methods involved in to...

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Veröffentlicht in:Condensed Matter Physics
Datum:2006
1. Verfasser: Kenna, R.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/121322
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Homotopy in statistical physics / R. Kenna // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 283–304. — Бібліогр.: 74 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:In condensed matter physics and related areas, topological defects play important roles in phase transitions
 and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a
 pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the
 latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities
 in this area are reviewed and some possible future directions are discussed.
ISSN:1607-324X