The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces

Details The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces

2005-07-13

arxiv.org/abs/math/0507266v2

Algebraic & Geometric Topology 8 (2008), 803-848

Mathematics

Geometric Topology

28 pages. The whole paper has been rewritten, and the title has been changed

Scientific paper

The set of homology cobordisms from a surface to itself with markings of their boundaries has a natural monoid structure. To investigate the structure of this monoid, we define and study its Magnus representation and Reidemeister torsion invariants by generalizing Kirk-Livingston-Wang's argument over the Gassner representation of string links. Moreover, by applying Cochran and Harvey's framework of higher-order (non-commutative) Alexander invariants to them, we extract several pieces of information about the monoid and related objects.

Affiliated with

Also associated with

No associations

Rating

The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces 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 The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295268