Please use this identifier to cite or link to this item: https://repositorio.mcti.gov.br/handle/mctic/6550
metadata.rede.dc.title: The Atiyah-Singer Index Theorem: A Heat Kernel (PDE's) Proof
metadata.rede.dc.contributor.author: Botelho, Luiz C.L.
metadata.rede.dc.publisher: Centro Brasileiro de Pesquisas Físicas
metadata.rede.dc.date.issued: 2008
metadata.rede.dc.description.resumo: 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.
metadata.rede.dc.identifier.uri: https://repositorio.mcti.gov.br/handle/mctic/6550
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