Affordable Access

Some applications of Gabai's internal hierarchy

Authors
  • Ni, Yi
Publication Date
Jan 15, 2014
Source
Caltech Authors
License
Unknown
External links

Abstract

Any Haken 3-manifold (possibly with boundary consisting of tori) can be transformed into a surface × S^1 by a series of splitting and regluing along incompressible surfaces. This fact was proved by Gabai as an application of his sutured manifold theory. The first half of this paper provides a few technical details in the proof. In the second half of this paper, some applications of Gabaiʼs theorem to Heegaard Floer homology are given. We refine the known results about the Thurson norm and fibrations. We also give some classification results for Floer simple knots in manifolds with positive b_1.

Report this publication

Statistics

Seen <100 times