Classical homological invariants are not determined by knot Floer homology and Khovanov homology
SCIE
SCOPUS
- Title
- Classical homological invariants are not determined by knot Floer homology and Khovanov homology
- Authors
- Cha, JC; Toshifumi Tanaka
- Date Issued
- 2016-06
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- We illustrate that there are knots for which Heegaard knot Floer homology and Khovanov homology are identical but the Alexander module and torsion invariants differ. The examples are certain symmetric unions. We also give examples of similar flavor, concerning the Kauffman and Q-polynomials in place of the classical homological invariants. This shows there are nonmutant knots with the same knot Floer and Khovanov homology.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/37969
- DOI
- 10.1142/S0218216516500395
- ISSN
- 0218-2165
- Article Type
- Article
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, vol. 25, no. 7, page. 1650039, 2016-06
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