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학술대회/행사

초록검색

제출번호(No.) 0196
분류(Section) Special Session
분과(Session) (SS-14) Topology of Manifolds and Knots (SS-14)
발표시간(Time) 19th-B-13:00 -- 13:20
영문제목
(Title(Eng.))
Geometric realizations of the extreme Khovanov homology of certain families of links
저자(Author(s))
Jinseok Oh1, Mark H. Siggers1, Seung Yeop Yang1, Hongdae Yun1
Kyungpook National University1
초록본문(Abstract) Gonzalez-Meneses, Manchon, and Silvero showed that the (hypothetical) extreme Khovanov homology of a link diagram is isomorphic to the reduced cohomology of the independence simplicial complex of a Lando graph derived from the link diagram. Przytycki and Silvero conjectured that the extreme Khovanov homology of any link is torsion-free.
In this talk, we provide explicit formulations for the homotopy type of the extreme Khovanov homology of certain families of links, including pretzel links and torus links. This is joint work with Mark H. Siggers, Jinseok Oh, and Hongdae Yun.
분류기호
(MSC number(s))
57K10, 57K18, 57M15
키워드(Keyword(s)) Khovanov homology, pretzel link, geometric realization, homotopy type
강연 형태
(Language of Session (Talk))
Korean