Twisted torsion invariants and link concordance
SCIE
SCOPUS
- Title
- Twisted torsion invariants and link concordance
- Authors
- Cha, JC; Friedl, S
- Date Issued
- 2013-05
- Publisher
- WALTER DE GRUYTER GMBH
- Abstract
- The twisted torsion of a 3-manifold is well known to be zero whenever the corresponding twisted Alexander module is non-torsion. Under mild extra assumptions we introduce a new twisted torsion invariant which is always non-zero. We show how this torsion invariant relates to the twisted intersection form of a bounding 4-manifold, generalizing a theorem of Milnor to the non-acyclic case. Using this result, we give new obstructions to 3-manifolds being homology cobordant and to links being concordant. These obstructions are sufficiently strong to detect that the Bing double of the Figure 8 knot is not slice.
- Keywords
- Twisted torsion; homology cobordism; link concordance; BOUNDARY LINKS; REIDEMEISTER TORSION; SIGNATURE INVARIANTS; WHITEHEAD TORSION; THURSTON NORM; BING DOUBLES; COBORDISM; KNOT; POLYNOMIALS; THEOREM
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/14898
- DOI
- 10.1515/FORM.2011.125
- ISSN
- 0933-7741
- Article Type
- Article
- Citation
- FORUM MATHEMATICUM, vol. 25, no. 3, page. 471 - 504, 2013-05
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