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A new class of examples of group-valued moment maps

2007/10/20 by Alimjon Eshmatov, Eshmatov, Alimjon
Mathematics · Physics and Astronomy · #53D20 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0710.3844

openalex publication_date 2007/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to construct new examples of group-valued moment maps. As the main tool for construction of such examples we use quasi-symplectic implosion which was introduced in [HJS06]. More precisely we show that there are certain strata of D\bf Sp(n)\rm impl, the universal imploded space, where it is singular but whose closure is a smooth quasi-Hamiltonian \bf Sp(n) × T space.

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