A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces

Details A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces

2010-05-30

arxiv.org/abs/1005.5501v3

Mathematics

Geometric Topology

69 pages. The statement of Proposition 6.1 is corrected. Submitted to "Handbook of Teichmu"ller theory, volume III" (editor: A

Scientific paper

This is a survey of Magnus representations with particular emphasis on their applications to mapping class groups and monoids (groups) of homology cobordisms of surfaces. In the first half, we begin by recalling the basics of the Fox calculus and overview Magnus representations for automorphism groups of free groups and mapping class groups of surfaces with related topics. In the latter half, we discuss in detail how the theory in the first half extends to homology cobordisms of surfaces and present a number of applications from recent researches.

Affiliated with

Also associated with

No associations

Rating

A survey of Magnus representations for mapping class groups and 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 A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161614