Verification & discretization of the index theorem for a two dimensional dirac operator
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...
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Format: | Theses and Dissertations |
Language: | English |
Published: |
2015
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Online Access: | http://hdl.handle.net/10356/62324 |
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Institution: | Nanyang Technological University |
Language: | English |