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arXiv · 2008.12728

Log symplectic manifolds and $[Q,R]=0$

Yi Lin·Yiannis Loizides·Reyer Sjamaar·Yanli Song
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Abstract

We show, under an orientation hypothesis, that a log symplectic manifold with simple normal crossing singularities has a stable almost complex structure, and hence is Spin$_c$. In the compact Hamiltonian case we prove that the index of the Spin$_c$ Dirac operator twisted by a prequantum line bundle satisfies a $[Q,R]=0$ theorem.

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Yi Lin, Yiannis Loizides, Reyer Sjamaar, Yanli Song. 2020-08-28. Log symplectic manifolds and $[Q,R]=0$. https://doi.org/10.1093/imrn%2Frnab140

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