2021
DOI: 10.48550/arxiv.2107.06135
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Virtual Coulomb branch and vertex functions

Abstract: We introduce a variation of the K-theoretic quantized Coulomb branch constructed by Braverman-Finkelberg-Nakajima, by application of a new virtual intersection theory. In the abelian case, we define Verma modules for such virtual Coulomb branches, and relate them to the moduli spaces of quasimaps into the corresponding Higgs branches. The descendent vertex functions, defined by K-theoretic quasimap invariants of the Higgs branch, can be realized as the associated Whittaker functions. The quantum q-difference m… Show more

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