Homotopy in statistical physics

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23 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)283-304
JournalCondensed Matter Physics
Issue number2(46)
Publication statusPublished - 2006

Bibliographical note

The full text is available from: http://dx.doi.org/10.5488/CMP.9.2.283


  • homotopy
  • phase transitions
  • scaling
  • topological defects


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