Untwisting Heegaard diagrams in 3-space

Details Untwisting Heegaard diagrams in 3-space Untwisting Heegaard diagrams in 3-space

2003-10-28

arxiv.org/abs/math/0310426v1

Mathematics

Geometric Topology

5 figures, latex2e

Scientific paper

We show that if $V^3$ is a handlebody in $\R^3$, with curves $J_1, ..., J_g \subset \partial V$ which are the attaching curves for a Heegaard splitting of a homology sphere, then there exists a homeomorphism $h\colon V \to V$ so that each of the curves $h(J_i)$ bounds an orientable surface in $\R^3 - int(V)$. This leads to a new characterization of homology spheres and also contradicts a remark of Haken (in 1969) regarding the Poincar\'e homology sphere.

Affiliated with

Also associated with

No associations

Rating

Untwisting Heegaard diagrams in 3-space 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 Untwisting Heegaard diagrams in 3-space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Untwisting Heegaard diagrams in 3-space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137145