Affiliation:
1. Georgia Southern University
2. Cornell University
3. Washington University in St. Louis
Abstract
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.
Funder
National Science Foundation
Publisher
Oxford University Press (OUP)
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