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A new class of examples of group-valued moment maps

Symplectic Geometry 2007-10-23 v1

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 DSp(n)implD{\bf Sp}(n)_{\rm impl}, the universal imploded space, where it is singular but whose closure is a smooth quasi-Hamiltonian Sp(n)×T{\bf Sp}(n) \times T space.

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Cite

@article{arxiv.0710.3844,
  title  = {A new class of examples of group-valued moment maps},
  author = {Alimjon Eshmatov},
  journal= {arXiv preprint arXiv:0710.3844},
  year   = {2007}
}

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12 pages