1. A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces Open Access Author: Hong, Seunghun Title: A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces Graduate Program: Mathematics Keywords: local index theorycubic Dirac operatorheat kernel asymptoticscompact homogeneous spacesquantum Weil algebra File: Download Seunghun_Hong_Final_Dissertation_Revised.pdf Committee Members: Nigel David Higson, Committee Chair/Co-ChairNigel David Higson, Dissertation Advisor/Co-AdvisorJohn Roe, Committee MemberPing Xu, Committee MemberMartin Bojowald, Committee Member
