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Bordered Floer homology and a meridional class of knot
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 1.8 ) Pub Date : 2021-02-12 , DOI: 10.1007/s13398-021-01004-8
Jaepil Lee

For a knot K and its knot Floer complex \(CFK^-(K)\), we introduce an algorithm to compute the bordered Floer bimodule of the complement of the knot and its meridian. The grading of the module computes \(spin^c\)-summands of \({\widehat{HFK}}(S^3_{-n}(K), \mu _K)\), which can also be extended to arbitrary framing n.



中文翻译:

有边界的Floer同源性和子午线结类

对于结K及其结Floer复数\(CFK ^-(K)\),我们引入了一种算法来计算结及其子午线补的有界Floer双模。该模块的等级可计算\({\ widehat {HFK}}(S ^ 3 _ {-n}(K),\ mu _K)\)的\(spin ^ c \)-求和,也可以扩展为任意取景ñ

更新日期:2021-02-15
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