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Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(2/2)
黃, 榮宗
(PI)
Department of Mathematics
Overview
Fingerprint
Research output
(4)
Project Details
Status
Finished
Effective start/end date
1/08/19
→
31/07/21
View all
View less
Keywords
analytic torsion
refined analytic torsion
quantization commutes with reduction
geometric quantization
Fingerprint
Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.
Morse Inequalities
Mathematics
100%
CR Manifold
Mathematics
50%
Equivariant
Mathematics
46%
Index Theorem
Mathematics
41%
Manifolds with Boundary
Mathematics
38%
Complex Manifolds
Mathematics
35%
kernel
Mathematics
34%
Cohomology
Mathematics
28%
Research output
Research output per year
2020
2020
2021
2022
2022
4
Article
Research output per year
Research output per year
On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions
Hsiao, C. Y.
,
Huang, R. T.
&
Shao, G.
,
Jan 2022
,
In:
Journal of Geometric Analysis.
32
,
1
, 31.
Research output
:
Contribution to journal
›
Article
›
peer-review
Equivariant
100%
Asymptotic Expansion
92%
kernel
73%
Coefficient
53%
CR Manifold
46%
G-invariant Szegő kernel asymptotics and CR reduction
Hsiao, C. Y.
&
Huang, R. T.
,
Feb 2021
,
In:
Calculus of Variations and Partial Differential Equations.
60
,
1
, 47.
Research output
:
Contribution to journal
›
Article
›
peer-review
Lie groups
100%
kernel
46%
Invariant
37%
Fourier Integral Operators
31%
CR Manifold
29%
2
Scopus citations
Morse inequalities for fourier components of kohn-rossi cohomology of CR covering manifolds with s
1
-action
Huang, R. T.
&
Shao, G.
,
2020
,
In:
Pacific Journal of Mathematics.
304
,
2
,
p. 439-462
24 p.
Research output
:
Contribution to journal
›
Article
›
peer-review
Morse Inequalities
100%
CR Manifold
58%
Cohomology
56%
Covering
54%
Paracompact
28%