Verification & discretization of the index theorem for a two dimensional dirac operator

• Main Author: Lim, Kim Song
• Other Authors: David Henry Adams
• Format: Theses and Dissertations
• Language: English
• Published: 2015
• Subjects: DRNTU::Science::Mathematics
• Online Access: http://hdl.handle.net/10356/62324
• Institution: Nanyang Technological University

The famous Atiyah-Singer Index Theorem states that for an elliptic partial differential operator D on a compact manifold, the analytical index (related to the solution space of the partial differential equation Df = 0) is equal to the topological index (defined in terms of some topological data of D...