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Title: Log Symplectic Manifolds and [ Q,R ]=0
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.  more » « less
Award ID(s):
1800667
PAR ID:
10458808
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
International Mathematics Research Notices
Volume:
2022
Issue:
18
ISSN:
1073-7928
Page Range / eLocation ID:
14034 to 14066
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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