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Topological Index and Analytical Index: Reformulation of Index Theory

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From Differential Geometry to Non-commutative Geometry and Topology
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Abstract

In this part we present the main algebraic structures on topological manifolds and we reformulate the index theory.

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References

  1. Teleman N.: Local 3 Index Theorem. arXiv: 1109.6095v1, math.KT, 28 Sep. 2011.

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  2. Teleman N.: Local Hochschild Homology of Hilbert-Schmidt Operators on Simplicial Spaces. arXiv hal-00707040, Version 1, 11 June 2012

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  3. Teleman N.: Local Algebraic K-Theory, 26 lug 2013 - arXiv.org > math > arXiv:1307.7014, 2013

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  4. Teleman N.: The Local Index Theorem, HAL-00825083, arXiv 1305.5329, 22 May 2013.

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Teleman, N.S. (2019). Topological Index and Analytical Index: Reformulation of Index Theory. In: From Differential Geometry to Non-commutative Geometry and Topology. Springer, Cham. https://doi.org/10.1007/978-3-030-28433-6_8

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