TY - JOUR
T1 - Log Symplectic Manifolds and [Q , R ] = 0
AU - Lin, Yi
AU - Loizides, Yiannis
AU - Sjamaar, Reyer
AU - Song, Yanli
N1 - Publisher Copyright:
© The Author(s) 2021. Published by Oxford University Press. All rights reserved.
PY - 2022/9/1
Y1 - 2022/9/1
N2 - 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 Spinc. In the compact Hamiltonian case we prove that the index of the Spinc Dirac operator twisted by a prequantum line bundle satisfies a [Q, R] = 0 theorem.
AB - 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 Spinc. In the compact Hamiltonian case we prove that the index of the Spinc Dirac operator twisted by a prequantum line bundle satisfies a [Q, R] = 0 theorem.
UR - http://www.scopus.com/inward/record.url?scp=85158054658&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnab140
DO - 10.1093/imrn/rnab140
M3 - Article
AN - SCOPUS:85158054658
SN - 1073-7928
VL - 2022
SP - 14034
EP - 14066
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 18
ER -