Branched cyclic covers and finite type invariants

Details Branched cyclic covers and finite type invariants Branched cyclic covers and finite type invariants

2000-03-06

arxiv.org/abs/math/0003035v4

Mathematics

Geometric Topology

29 pages (22 + 7 pg app.), 2 eps figures, spelling mistake fixed

Scientific paper

This work identifies a class of moves on knots which translate to $m$-equivalences of the associated $p$-fold branched cyclic covers, for a fixed $m$ and any $p$ (with respect to the Goussarov-Habiro filtration.) These moves are applied to give a flexible (if specialised) construction of knots for which the Casson-Walker-Lescop invariant (for example) of their $p$-fold branched cyclic covers may be readily calculated, for any choice of $p$. In the second part of this paper, these operations are illustrated by some theorems concerning the relationship of knot invariants obtained from finite type three-manifold invariants, via the branched cyclic covering construction, with the finite type theory of knots.

Affiliated with

Also associated with

No associations

Rating

Branched cyclic covers and finite type 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 Branched cyclic covers and finite type invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branched cyclic covers and finite type invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-346643