Flat endomorphisms for mod $p$ equivariant quantum connections from quantum Steenrod operations
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908301723172864 |
|---|---|
| author | Lee, Jae Hee |
| author_facet | Lee, Jae Hee |
| contents | We present a method for constructing covariantly constant endomorphisms for the mod $p$ equivariant quantum connection, using the quantum Steenrod power operations of Fukaya and Wilkins. The example of the cotangent bundle of the projective line is fully computed, and we discuss the relationship with the mod $p$ solutions of trigonometric KZ equation recently constructed by Varchenko. As a byproduct, we compute the first examples of quantum Steenrod operations that are not a priori determined by ordinary Gromov--Witten theory and classical Steenrod operations, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_08949 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Flat endomorphisms for mod $p$ equivariant quantum connections from quantum Steenrod operations Lee, Jae Hee Symplectic Geometry Algebraic Geometry Representation Theory 53D45 We present a method for constructing covariantly constant endomorphisms for the mod $p$ equivariant quantum connection, using the quantum Steenrod power operations of Fukaya and Wilkins. The example of the cotangent bundle of the projective line is fully computed, and we discuss the relationship with the mod $p$ solutions of trigonometric KZ equation recently constructed by Varchenko. As a byproduct, we compute the first examples of quantum Steenrod operations that are not a priori determined by ordinary Gromov--Witten theory and classical Steenrod operations, which may be of independent interest. |
| title | Flat endomorphisms for mod $p$ equivariant quantum connections from quantum Steenrod operations |
| topic | Symplectic Geometry Algebraic Geometry Representation Theory 53D45 |
| url | https://arxiv.org/abs/2303.08949 |