Lagrangian Subvarieties of Hyperspherical Varieties

Michael Finkelberg; Victor Ginzburg; Roman Travkin

doi:10.1007/s00039-025-00703-3

Lagrangian Subvarieties of Hyperspherical Varieties

Michael Finkelberg^*
, Victor Ginzburg
, Roman Travkin

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a hyperspherical G-variety X we consider the zero moment level Λ_X⊂X of the action of a Borel subgroup B⊂G. We conjecture that Λ_X is Lagrangian. For the dual G^∨-variety X^∨, we conjecture that that there is a bijection between the sets of irreducible components and. We check this conjecture for all the hyperspherical equivariant slices, and for all the basic classical Lie superalgebras.

Original language	English
Article number	109359
Pages (from-to)	254-282
Number of pages	29
Journal	Geometric and Functional Analysis
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/s00039-025-00703-3
State	Published - Feb 2025

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© The Author(s) 2025.

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Lagrangian Subvarieties of Hyperspherical Varieties

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