Chain homotopy maps for Khovanov homology

Noboru Ito*

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Explicit chain homotopy maps and chain maps for the Reidemeister moves of Khovanov homology are often useful for several proofs of the isotopy invariance of Khovanov homology. However, such maps are missing except for the first Reidemeister moves given by Viro. In this paper, such chain homotopy maps and chain maps are obtained explicitly for the second and third Reidemeister moves (Sec. 2). Some applications are given to show the usefulness of these maps (Sec. 3).

本文言語English
ページ(範囲)127-139
ページ数13
ジャーナルJournal of Knot Theory and its Ramifications
20
1
DOI
出版ステータスPublished - 2011 1月

ASJC Scopus subject areas

  • 代数と数論

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