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Algebraic Topology and Obstruction Theory

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dc.contributor.advisor MALLICK, VIVEK MOHAN en_US
dc.contributor.author OUSEPH, CHRISIL en_US
dc.date.accessioned 2022-05-13T10:25:39Z
dc.date.available 2022-05-13T10:25:39Z
dc.date.issued 2022-05
dc.identifier.citation 65 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6931
dc.description.abstract This thesis aims to serve as an excursion into the theories of homology, cohomology and characteristic classes, conventional tools used to study topological spaces and vector bundles with origins in Algebraic Topology. Important definitions and results like the Excision theorem, Mayer-Vietoris sequences, the Universal Coefficient Theorem, Künneth formulae and Poincaré Duality are presented. The Stiefel-Whitney class and the Euler class are introduced and their properties discussed. Meanwhile, the obstructions they pose to the existence of sections and orientability are also mentioned. The thesis concludes with an application of the tools acquired to the computation of the equivariant cohomology and Stiefel-Whitney classes of a chosen space under a particular group action. en_US
dc.language.iso en en_US
dc.subject Algebraic Topology en_US
dc.subject Homology en_US
dc.subject Cohomology en_US
dc.subject Vector Bundles en_US
dc.subject Equivariant Cohomology en_US
dc.subject Orientation en_US
dc.subject Mathematics en_US
dc.subject Topology en_US
dc.subject Characteristic Class en_US
dc.subject Stiefel-Whitney Class en_US
dc.subject Equivariant Stiefel-Whitney Class en_US
dc.subject Euler Class en_US
dc.title Algebraic Topology and Obstruction Theory en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20171137 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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