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Spinors and the tangent groupoid

Author
Yi, Zelin
Published
[University Park, Pennsylvania] : Pennsylvania State University, 2019.
Physical Description
1 electronic document
Additional Creators
Higson, N.
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Graduate Program
Restrictions on Access
Open Access.
Summary
Let M be a spin manifold of even dimensional. In this dissertation, we define a rescaled bundle S over the tangent groupoid $\mathbb{T}M$ which incorporates Getzler's symbol calculus. We prove that this bundle has a multiplicative structure and a continuous family of supertraces. We also define a modified version of the rescaled bundle and apply it to the context of Bismut's hypoelliptic Laplacian on compact Lie group.
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Dissertation Note
Ph.D. Pennsylvania State University 2019.
Reproduction Note
Microfilm (positive). 1 reel ; 35 mm. (University Microfilms 28123318)
Technical Details
The full text of the dissertation is available as an Adobe Acrobat .pdf file ; Adobe Acrobat Reader required to view the file.
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