Titlebook: Topology and Condensed Matter Physics; Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Band Book 2017 Springer Nature Singapore Pte Ltd. and

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https://doi.org/10.1007/978-981-10-6841-6Topological Ideas; Condensed Matter; Set Topology; Homotopy theory; Homology; Differential Topology; Vecto

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Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit BandIntroduces topology with mathematical rigour while remaining accessible to physicists.Contains compilation of the lectures delivered at the SERC school, India.Bridges the language barrier among the di

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Differential Topology and Differential Geometrymatical Methods of Classical Mechanics”). In the second part, we start with the definitions of Riemannian metrics, connections and curvatures on open sets of Euclidean spaces, and then give a brief introduction of those on smooth manifolds.

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Special Topics: A Crash Course on Knotsriants, knot groups, Wirtinger presentation, torsion, Seifert surfaces, Skein relations, Alexander and Jones polynomials, and linking number. A few examples of knots and links are given in the appendix.