Combinatorial Knot Floer Homology
Loading...
Authors
Nair, Divya S.
Issue Date
2012
Type
Thesis
Language
Keywords
floer , homology , knot
Alternative Title
Abstract
Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003. It has since become powerful invariant for the study of properties of knots. The definition of the Knot Floer Homology groups initially involved counting holomorphic disks in symmetric products of Riemann surfaces, which made them difficult to compute. In 2006, in a paper titled "A combinatorial Description of Knot Floer Homology", the authors Ciprian Manolescu, Peter Ozsváth, and Sucharit Sarkar discovered an algorithm for purely combinatorial description of knot Floer homology, making its computation, in principle, fully accessible. This thesis defense will describe their combinatorial algorithm along with examples and applications.
Description
Citation
Publisher
License
In Copyright(All Rights Reserved)