Article
Licensed
Unlicensed
Requires Authentication
Twisted torsion invariants and link concordance
-
Jae Choon Cha
and
Stefan Friedl
Published/Copyright:
May 2, 2013
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.
Received: 2010-09-30
Revised: 2011-03-19
Published Online: 2013-05-02
Published in Print: 2013-05-01
© 2013 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- Low-dimensional non-abelian Leibniz cohomology
- Twisted torsion invariants and link concordance
- Groups with faithful irreducible projective unitary representations
- Universality of the Selberg zeta-function for the modular group
- An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof
- Knotted surfaces in 4-manifolds
- Knot surgery and Scharlemann manifolds
- On the Sato–Tate conjecture on average for some families of elliptic curves
Articles in the same Issue
- Masthead
- Low-dimensional non-abelian Leibniz cohomology
- Twisted torsion invariants and link concordance
- Groups with faithful irreducible projective unitary representations
- Universality of the Selberg zeta-function for the modular group
- An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof
- Knotted surfaces in 4-manifolds
- Knot surgery and Scharlemann manifolds
- On the Sato–Tate conjecture on average for some families of elliptic curves
