|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Stein fillings and
$\mathrm{SU}(2)$ representations
John A Baldwin and Steven Sivek |
|
Geometry & Topology 22 (2018) 4307–4380
|
Abstract |
|
We recently defined invariants of contact –manifolds using a version of instanton Floer homology for sutured manifolds. In this paper, we prove that if several contact structures on a –manifold are induced by Stein structures on a single –manifold with distinct Chern classes modulo torsion then their contact invariants in sutured instanton homology are linearly independent. As a corollary, we show that if a –manifold bounds a Stein domain that is not an integer homology ball then its fundamental group admits a nontrivial homomorphism to . We give several new applications of these results, proving the existence of nontrivial and irreducible representations for a variety of –manifold groups. |
Keywords
contact structures, Stein fillings, instanton Floer
homology
|
Mathematical Subject Classification 2010
Primary: 53D40, 53D10
Secondary: 57R17, 57M27, 57R58
|
References |
Publication
Received: 11 October 2017
Revised: 8 March 2018
Accepted: 8 April 2018
Published: 6 December 2018
Proposed: Ciprian Manolescu
Seconded: András I Stipsicz, Cameron Gordon
|
Authors |
| John A Baldwin | |
| Department of Mathematics Boston College Chestnut Hill, MA United States |
|
| https://www2.bc.edu/john-baldwin/ | |
| Steven Sivek | |
| Department of Mathematics Imperial College London London United Kingdom |
|
| http://wwwf.imperial.ac.uk/~ssivek | |
