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Author:

Signori, Daniele

Title:

Poisson sigma models, reduction and nonlinear gauge theories

Graduate Program:

Mathematics

Keywords:

poisson sigma models
nonlinear gauge theories
homotopy algebras
AKSZ
BV
BFV
deformation quantization
principal groupoid bundle
groupoids
algebroids

File:

Download Daniele_Signori_-_Dissertation_-_Final_Version_-_Nov_20.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Adrian Ocneanu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member
Alberto Cattaneo, Committee Member

Author:

Liao, Hsuan Yi

Title:

FORMALITY AND KONTSEVICH–DUFLO THEOREM

Graduate Program:

Mathematics

Keywords:

deformation quantization
differential geometry
mathematical physics
formality theorem
Duflo theorem
Todd class
Lie algebroid

File:

Download Liao-Dissertation.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Adrian Ocneanu, Committee Member
Nigel David Higson, Committee Member
Martin Bojowald, Outside Member
Mathieu Philippe Stienon, Dissertation Advisor/Co-Advisor