Higher-genus wall-crossing in Landau-Ginzburg theory
Abstract/Contents
- Abstract
- For a Fermat quasi-homogeneous polynomial, we study the associated weighted Fan--Jarvis--Ruan--Witten theory with narrow insertions. We prove a wall-crossing formula in all genera via localization on a master space, which is constructed by introducing an additional tangent vector to the moduli problem. This is a Landau--Ginzburg theory analogue of the higher-genus quasi-map wall-crossing formula proved by Ciocan-Fontanine and Kim. It generalizes the genus-$0$ result by Ross--Ruan and the genus-$1$ result by Guo--Ross. We apply similar techniques to prove an wall-crossing formula varying the weights of marked points in the hybrid-model. As an application, this removes the assumption on marked points in the wall-crossing formula of Clader--Janda--Ruan.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2018; ©2018 |
| Publication date | 2018; 2018 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Zhou, Yang, (Researcher in algebraic geometry) |
|---|---|
| Degree supervisor | Li, Jun, (Mathematician) |
| Thesis advisor | Li, Jun, (Mathematician) |
| Thesis advisor | Conrad, Brian, 1970- |
| Thesis advisor | Ionel, Eleny |
| Degree committee member | Conrad, Brian, 1970- |
| Degree committee member | Ionel, Eleny |
| Associated with | Stanford University, Department of Mathematics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Yang Zhou. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2018. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2018 by Yang Zhou
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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