Browsing by Author Botelho, Luiz C.L.
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| Preview | Title | Author(s) | ???itemlist.dc.contributor.author1??? | Issue Date | ???itemlist.dc.description.resumo??? |
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| The Atiyah-Singer Index Theorem: A Heat Kernel (PDE's) Proof | Botelho, Luiz C.L. | - | 2008 | We present a simple Partial Differential Equation proof for the Atiyah-Singer Index Theorem in the context of Dirac Operators on a Riemman Surface. Addintionaly, we present a proof of the monotonic grown under the Ricci flux of the Dirac Operator in the presence of a abelian Gauge Connection in a Riemman Surface. |
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