English

A note on contact manifolds with infinite fillings

Symplectic Geometry 2023-04-25 v1 Geometric Topology

Abstract

We use spinal open books to construct contact manifolds with infinitely many different Weinstein fillings in any odd dimension >1> 1, which were previously unknown for dimensions equal to 4n+14n+1. The argument does not involve understanding factorizations in the symplectic mapping class group.

Keywords

Cite

@article{arxiv.2304.11804,
  title  = {A note on contact manifolds with infinite fillings},
  author = {Zhengyi Zhou},
  journal= {arXiv preprint arXiv:2304.11804},
  year   = {2023}
}

Comments

5 pages, comments are welcome!