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Volume 27, Issue 1, October 2019, Pages 170 - 184
Fredholm Property of Operators from 2D String Field Theory
Authors
Hai-Long Her
Department of Mathematics, Jinan University, Guangzhou, 510632, China,hailongher@jnu.edu.cn
Received 14 May 2019, Accepted 24 August 2019, Available Online 25 October 2019.
- DOI
- 10.1080/14029251.2020.1683998How to use a DOI?
- Keywords
- Fredholm property; Floer homology; transversal non-degeneracy
- Abstract
In a recent study of Landau-Ginzburg model of string field theory by Gaiotto, Moore and Witten, there appears a type of perturbed Cauchy-Riemann equation, i.e. the ζ-instanton equation. Solutions of ζ-instanton equation have degenerate asymptotics. This degeneracy is a severe restriction for obtaining the Fredholm property and constructing relevant homology theory. In this article, we study the Fredholm property of a sort of differential operators with degenerate asymptotics. As an application, we verify certain Fredholm property of the linearized operator of ζ-instanton equations.
- Copyright
- © 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Hai-Long Her PY - 2019 DA - 2019/10/25 TI - Fredholm Property of Operators from 2D String Field Theory JO - Journal of Nonlinear Mathematical Physics SP - 170 EP - 184 VL - 27 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1683998 DO - 10.1080/14029251.2020.1683998 ID - Her2019 ER -