Equivariant Cohomology of Infinite-Dimensional Grassmannian and Shifted Schur Functions
Jia-Ming Liou, Albert Schwarz
TL;DR
This paper investigates the structure of the equivariant cohomology of the Sato Grassmannian, focusing on its multiplication and comultiplication properties, and explores the role of shifted Schur functions in this context.
Contribution
It introduces a novel approach to understanding the equivariant cohomology of infinite-dimensional Grassmannians using shifted Schur functions.
Findings
Established new algebraic relations in equivariant cohomology
Connected shifted Schur functions to geometric structures
Provided formulas for multiplication and comultiplication
Abstract
We study the multiplication and comultiplication in equivariant cohomology of Sato Grassmannian
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