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Author:

Hong, Seunghun

Title:

A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces

Graduate Program:

Mathematics

Keywords:

local index theory
cubic Dirac operator
heat kernel asymptotics
compact homogeneous spaces
quantum Weil algebra

File:

Download Seunghun_Hong_Final_Dissertation_Revised.pdf

Committee Members:

Nigel David Higson, Committee Chair/Co-Chair
Nigel David Higson, Dissertation Advisor/Co-Advisor
John Roe, Committee Member
Ping Xu, Committee Member
Martin Bojowald, Committee Member

Author:

Hong, Wei

Title:

Some problems in Poisson geometry

Graduate Program:

Mathematics

Keywords:

(holomorphic) Poisson manifolds
Poisson cohomology
Courant algebroid
hypercomplex structure
holomorphic symplectic structure

File:

Download Hong-Dissertation.pdf

Committee Members:

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