Translator Disclaimer
2020 Contact structures, excisions and sutured monopole Floer homology
Zhenkun Li
Algebr. Geom. Topol. 20(5): 2553-2588 (2020). DOI: 10.2140/agt.2020.20.2553

Abstract

We explore the interplay between contact structures and sutured monopole Floer homology. First, we study the behavior of contact elements, which were defined by Baldwin and Sivek, under the operation of performing Floer excisions, which was introduced to the context of sutured monopole Floer homology by Kronheimer and Mrowka. We then compute the sutured monopole Floer homology of some special balanced sutured manifolds, using tools closely related to contact geometry. For an application, we obtain an exact triangle for the oriented skein relation in monopole theory and derive a connected sum formula for sutured monopole Floer homology.

Citation

Download Citation

Zhenkun Li. "Contact structures, excisions and sutured monopole Floer homology." Algebr. Geom. Topol. 20 (5) 2553 - 2588, 2020. https://doi.org/10.2140/agt.2020.20.2553

Information

Received: 14 December 2018; Revised: 4 November 2019; Accepted: 23 November 2019; Published: 2020
First available in Project Euclid: 10 November 2020

MathSciNet: MR4171573
Digital Object Identifier: 10.2140/agt.2020.20.2553

Subjects:
Primary: 57M25, 57M27

Rights: Copyright © 2020 Mathematical Sciences Publishers

JOURNAL ARTICLE
36 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.20 • No. 5 • 2020
MSP
Back to Top