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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Bibliographic Details
Main Authors: Seidel, Paul, Wilkins, Nicholas
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2022
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.
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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