Simplicial homotopy theory, link homology and Khovanov homology
نویسندگان
چکیده
منابع مشابه
Homology and Homotopy Theory Homotopy and Homology
1. TJ'he first step toward connecting these two basic concepts of topology was taken by L. E. J. Brouwer in 1912 by demonstrating that two continuous mappings of a two-dimensional sphere into itself can be continuously deformed into each other if and only if they have the same degree (that is, if they are equivalent from the point of view of homology theory). After having generalized Brouwer's ...
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We introduce a local algorithm for Khovanov Homology computations — that is, we explain how it is possible to “cancel” terms in the Khovanov complex associated with a (“local”) tangle, hence canceling the many associated “global” terms in one swoosh early on. This leads to a dramatic improvement in computational efficiency. Thus our program can rapidly compute certain Khovanov homology groups t...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2018
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s021821651841002x