TOWARD AN EQUIVARIANT KHOVANOV HOMOLOGY

Nafaa Chbili

doi:10.1142/9789812770967_0003

TOWARD AN EQUIVARIANT KHOVANOV HOMOLOGY

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This paper is concerned with the Khovanov homology of links which admit a semi-free Z/pZ-symmetry. We prove that if we consider Khovanov homology with coefficients in the field F₂, then the Z/pZ-symmetry (for any odd integer p) of the link extends to an action of the group Z/pZ on the Khovanov homology.

Original language	English
Title of host publication	Intelligence of Low Dimensional Topology 2006
Subtitle of host publication	Volume 40
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	19-25
Number of pages	7
Volume	40
ISBN (Electronic)	9789812770967
ISBN (Print)	9812705937, 9789812705938
DOIs	https://doi.org/10.1142/9789812770967_0003
Publication status	Published - Jan 1 2007
Externally published	Yes

Keywords

equivariant Reidemeister moves
Khovanov homology
periodic links

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1142/9789812770967_0003

Cite this

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title = "TOWARD AN EQUIVARIANT KHOVANOV HOMOLOGY",

abstract = "This paper is concerned with the Khovanov homology of links which admit a semi-free Z/pZ-symmetry. We prove that if we consider Khovanov homology with coefficients in the field F2, then the Z/pZ-symmetry (for any odd integer p) of the link extends to an action of the group Z/pZ on the Khovanov homology.",

keywords = "equivariant Reidemeister moves, Khovanov homology, periodic links",

author = "Nafaa Chbili",

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AB - This paper is concerned with the Khovanov homology of links which admit a semi-free Z/pZ-symmetry. We prove that if we consider Khovanov homology with coefficients in the field F2, then the Z/pZ-symmetry (for any odd integer p) of the link extends to an action of the group Z/pZ on the Khovanov homology.

KW - equivariant Reidemeister moves

KW - Khovanov homology

KW - periodic links

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VL - 40

SP - 19

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BT - Intelligence of Low Dimensional Topology 2006

PB - World Scientific Publishing Co. Pte Ltd

ER -

TOWARD AN EQUIVARIANT KHOVANOV HOMOLOGY

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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