Highest Weight Generating functions for hyperKahler T*(G/H) spaces
Amihay Hanany, Sanjaye Ramgoolam, Diego Rodriguez-Gomez
TL;DR
This paper introduces a new method for calculating the generating functions of holomorphic functions on hyperKahler cones, specifically those that are cotangent bundles of homogeneous spaces, enhancing computational efficiency.
Contribution
It provides a novel formula for Highest Weight Generating functions, improving the counting process for holomorphic functions on certain hyperKahler spaces.
Findings
Derived an explicit formula for Highest Weight Generating functions.
Enabled efficient counting of holomorphic functions on hyperKahler cones.
Applicable to cotangent bundles of homogeneous spaces.
Abstract
We develop an efficient procedure for counting holomorphic functions on a hyperKahler cone that has a resolution as a cotangent bundle of a homogeneous space by providing a formula for computing the corresponding Highest Weight Generating function.
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