Cohomology of Generalized Dold Manifolds [HBNI Th254]

Manas Mandal

dc.contributor.author	Manas Mandal
dc.date.accessioned	2024-12-10T11:07:50Z
dc.date.available	2024-12-10T11:07:50Z
dc.date.issued	2024
dc.date.submitted	2024-11
dc.identifier.uri	https://dspace.imsc.res.in/xmlui/handle/123456789/890
dc.description.abstract	A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼ (−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct generators in odd dimensions for Thom’s unoriented cobordism ring (see [Dol56]). The above definition was generalized by Nath and Sankaran to a broader class of manifolds in order to study certain manifold-properties, which they termed gen- eralized Dold manifolds (see [NS19]). We generalize this even further and call it generalized Dold spaces (GDS) in [MS22] to study cohomology of these spaces.	en_US
dc.description.tableofcontents	1. Preliminaries 2. Cohomology groups of GDS 3. Mod 2 cohomology algebra of some GDS 4. Cohomology of P (Sm , CG(ν)) 5. K-theory of P (Sm , CG(ν)) 6. Applications	en_US
dc.publisher.publisher
dc.publisher.publisher	Institute of Mathematical Sciences
dc.subject	Cohomology	en_US
dc.subject	Generalized Dold Manifolds	en_US
dc.subject	Homotopy Theory	en_US
dc.subject	Simplicial Complexes	en_US
dc.subject	Spectral Sequences	en_US
dc.title	Cohomology of Generalized Dold Manifolds [HBNI Th254]	en_US
dc.type.degree	Ph.D	en_US
dc.type.institution	Institute of Mathematical Sciences	en_US
dc.description.advisor	Pralay Chatterjee
dc.description.pages	vi, 104p.	en_US
dc.type.mainsub	Mathematics	en_US
dc.type.hbnibos	Mathematical Sciences	en_US