Topology of linked defects in condensed matter

M. I. Monastyrsky, Vladimir Retakh

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

The present paper contains a systematic study of several linked singularities in condensed matter. We introduce a hierarchy of conservation laws in terms of differential forms corresponding to a sequence of linking invariants so that we can distinguish nontrivial links possessing zero Gauss linking coefficients. We obtain a set of topological obstruction rules for links in nematics, cholesterics, and superfluid3He and4He.

Original languageEnglish (US)
Pages (from-to)445-459
Number of pages15
JournalCommunications In Mathematical Physics
Volume103
Issue number3
DOIs
StatePublished - Sep 1 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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