Point pushing, homology, and the hyperelliptic involution

Details Point pushing, homology, and the hyperelliptic involution Point pushing, homology, and the hyperelliptic involution

2011-10-06

arxiv.org/abs/1110.1397v1

Mathematics

Geometric Topology

26 pages, 4 figures

Scientific paper

The hyperelliptic Torelli group is the subgroup of the mapping class group consisting of elements that act trivially on the homology of the surface and that also commute with some fixed hyperelliptic involution. We prove a Birman exact sequence for hyperelliptic Torelli groups, and we show that this sequence splits. As a consequence, we show that the hyperelliptic Torelli group is generated by Dehn twists if and only if it is generated by reducible elements. We also give an application to the kernel of the Burau representation.

Affiliated with

Also associated with

No associations

Rating

Point pushing, homology, and the hyperelliptic involution 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 Point pushing, homology, and the hyperelliptic involution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Point pushing, homology, and the hyperelliptic involution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-132257