Normalization of twisted Alexander invariants

Details Normalization of twisted Alexander invariants Normalization of twisted Alexander invariants

2007-05-16

arxiv.org/abs/0705.2371v4

Mathematics

Geometric Topology

15 pages, 1 figure; corrected the error about displaying a figure; 18 pages, 1 figure, modified the normalization of invariant

Scientific paper

Twisted Alexander invariants of knots are well-defined up to multiplication of units. We get rid of this multiplicative ambiguity via a combinatorial method and define normalized twisted Alexander invariants. We can show that the invariants coincide with sign-determined Reidemeister torsion in a normalized setting and refine the duality theorem. As an application, we obtain stronger necessary conditions for a knot to be fibered than those previously known. Finally, we study a behavior of the highest degree of the normalized invariant.

Affiliated with

Also associated with

No associations

Rating

Normalization of twisted Alexander invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Normalization of twisted Alexander invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Normalization of twisted Alexander invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670525