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Mathematics > Symplectic Geometry

arXiv:2102.06432v2 (math)
[Submitted on 12 Feb 2021 (v1) , last revised 6 Jun 2022 (this version, v2)]

Title: Covariant constancy of quantum Steenrod operations

Title: 量子Steenrod运算的协变常性

Authors:Paul Seidel, Nicholas Wilkins
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.
Comments: 36 pages, 5 figures. Small changes to exposition, and correction of typos. To appear in the volume in honour of Claude Viterbo's sixtieth birthday in JFPTA, 2022. "This version of the article has been accepted for publication, after peer review, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections." DOI:10.1007/s11784-022-00967-4
Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG); Algebraic Topology (math.AT)
MSC classes: 53D45, 14N35, 55S10, 55N91
Cite as: arXiv:2102.06432 [math.SG]
  (or arXiv:2102.06432v2 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.2102.06432
Related DOI: https://doi.org/10.1007/s11784-022-00967-4

Submission history

From: Nicholas Wilkins [view email]
[v1] Fri, 12 Feb 2021 10:27:00 UTC (229 KB)
[v2] Mon, 6 Jun 2022 11:06:57 UTC (233 KB)
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