Covariant constancy of quantum Steenrod operations

TL;DR

This paper establishes a covariant constancy property of quantum Steenrod operations within equivariant quantum cohomology, linking them to the quantum connection and demonstrating their utility in computational examples.

Contribution

It introduces a new covariant constancy property of quantum Steenrod operations and connects them to the quantum connection, enhancing computational techniques.

Findings

Quantum Steenrod operations are covariantly constant as endomorphisms.

The paper demonstrates applications of this property in example computations.

Extends the understanding of quantum cohomology structures.

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.