Topology of linked defects in condensed matter

M. I. Monastyrsky; V. S. Retakh

doi:10.1007/BF01211760

Topology of linked defects in condensed matter

M. I. Monastyrsky, V. S. Retakh

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	445-459
Number of pages	15
Journal	Communications In Mathematical Physics
Volume	103
Issue number	3
DOIs	https://doi.org/10.1007/BF01211760
State	Published - Sep 1986
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01211760

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title = "Topology of linked defects in condensed matter",

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.",

author = "Monastyrsky, {M. I.} and Retakh, {V. S.}",

year = "1986",

month = sep,

doi = "10.1007/BF01211760",

language = "English (US)",

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pages = "445--459",

journal = "Communications In Mathematical Physics",

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T1 - Topology of linked defects in condensed matter

AU - Monastyrsky, M. I.

AU - Retakh, V. S.

PY - 1986/9

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N2 - 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.

AB - 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.

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U2 - 10.1007/BF01211760

DO - 10.1007/BF01211760

M3 - Article

AN - SCOPUS:0000659595

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SP - 445

EP - 459

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

Topology of linked defects in condensed matter

Abstract

All Science Journal Classification (ASJC) codes

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