Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2012; 49(2): 223-234
Printed March 1, 2012
https://doi.org/10.4134/BKMS.2012.49.2.223
Copyright © The Korean Mathematical Society.
Geometric quantization of odd dimensional spin$^c$ manifolds
Jian Wang and Yong Wang
Northeast Normal University, Northeast Normal University
We prove a Guillemin-Sternberg geometric quantization formula for circle action on odd dimensionalspin$^c$-manifolds. We prove two Kostant type formulas in this case. As a corollary, we get a cutting formula for the odd spin$^c$ quantization.
Keywords: Toeplitz operators, odd spin$^c$ quantization, Kostant formulas, involution, cutting formula
MSC numbers: 53D50, 53D20
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Certain differential identities in prime rings with anti-automorphisms
2024; 61(2): 335-353
-
A note on local commutators in division rings with involution
2019; 56(3): 659-666
-
On $m$-isometric Toeplitz operators
2018; 55(2): 367-378
-
Distributional solutions of Wilson's functional equations with involution and their Erd\"os' problem
2016; 53(4): 1157-1169
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd