Symplectic reduction of Sasakian manifolds

Indranil Biswas; Georg Schumacher

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arXiv · 1804.03685

Symplectic reduction of Sasakian manifolds

Indranil Biswas·Georg Schumacher

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Abstract

When a complex semisimple group $G$ acts holomorphically on a K\"ahler manifold $(X,\omega)$ such that a maximal compact subgroup $K\subset G$ preserves the symplectic form $\omega$, a basic result of symplectic geometry says that the corresponding categorical quotient $X/G$ can be identified with quotient of the zero-set of the moment map by the action of $K$. We extend this to the context of a semisimple group acting on a Sasakian manifold.

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BibTeX RIS

Indranil Biswas, Georg Schumacher. 2018-04-09. Symplectic reduction of Sasakian manifolds. https://arxiv.org/abs/1804.03685

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