Covariant constancy of quantum Steenrod operations
Abstract We prove a relationship between quantum Steenrod operations and the quantum connection. In particular, there are operations extending the quantum Steenrod power operations that, when viewed as endomorphisms of equivariant quantum cohomology, are covariantly constant. We demon...
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Format: | Article |
Language: | English |
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Springer International Publishing
2022
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Online Access: | https://hdl.handle.net/1721.1/143482 |
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author | Seidel, Paul Wilkins, Nicholas |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Seidel, Paul Wilkins, Nicholas |
author_sort | Seidel, Paul |
collection | MIT |
description | Abstract
We prove a relationship between quantum Steenrod operations and the quantum connection. In particular, there are operations extending the quantum Steenrod power operations that, when viewed as endomorphisms of equivariant quantum cohomology, are covariantly constant. We demonstrate how this property is used in computations of examples. |
first_indexed | 2024-09-23T16:52:58Z |
format | Article |
id | mit-1721.1/143482 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T16:52:58Z |
publishDate | 2022 |
publisher | Springer International Publishing |
record_format | dspace |
spelling | mit-1721.1/1434822023-06-22T18:30:02Z Covariant constancy of quantum Steenrod operations Seidel, Paul Wilkins, Nicholas Massachusetts Institute of Technology. Department of Mathematics Abstract We prove a relationship between quantum Steenrod operations and the quantum connection. In particular, there are operations extending the quantum Steenrod power operations that, when viewed as endomorphisms of equivariant quantum cohomology, are covariantly constant. We demonstrate how this property is used in computations of examples. 2022-06-21T12:59:58Z 2022-06-21T12:59:58Z 2022-06-15 2022-06-19T03:11:53Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143482 Journal of Fixed Point Theory and Applications. 2022 Jun 15;24(2):52 PUBLISHER_CC en https://doi.org/10.1007/s11784-022-00967-4 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer International Publishing Springer International Publishing |
spellingShingle | Seidel, Paul Wilkins, Nicholas Covariant constancy of quantum Steenrod operations |
title | Covariant constancy of quantum Steenrod operations |
title_full | Covariant constancy of quantum Steenrod operations |
title_fullStr | Covariant constancy of quantum Steenrod operations |
title_full_unstemmed | Covariant constancy of quantum Steenrod operations |
title_short | Covariant constancy of quantum Steenrod operations |
title_sort | covariant constancy of quantum steenrod operations |
url | https://hdl.handle.net/1721.1/143482 |
work_keys_str_mv | AT seidelpaul covariantconstancyofquantumsteenrodoperations AT wilkinsnicholas covariantconstancyofquantumsteenrodoperations |