Gopakumar-Vafa conjecture for genus 0 real Gromov-Witten invariants
Abstract/Contents
- Abstract
- The Gopakumar-Vafa conjecture arising from string theory states that BPS counts of a Calabi-Yau 3-fold (obtained from Gromov-Witten invariants using a power series formula) are integers. A symplectic version of the conjecture was proved by Ionel-Parker. In this thesis we prove a generalization of the symplectic Gopakumar-Vafa conjecture to the case of real Gromov-Witten invariants. Namely, real genus 0 BPS states of a Calabi-Yau 3-fold with an anti-symplectic involution (which are obtained from real genus 0 Gromov-Witten invariants) are integers. The proof combines topological methods from Ionel-Parker's proof of the original conjecture and Katz-Liu's computation of local BPS counts.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2016 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Zamorzaev-Orleanschii, Alexandr |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Ionel, Eleny |
| Thesis advisor | Ionel, Eleny |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Lin, Yu-Shen, 1984- |
| Advisor | Eliashberg, Y, 1946- |
| Advisor | Lin, Yu-Shen, 1984- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Alexandr Zamorzaev-Orleanschii. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2016. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2016 by Alexandr Zamorzaev Orleanschii
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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