TY  - BOOK
AU  - Karmakar,Aparajita
TI  - Equivariant homology decompositions for projective spaces and associated results/ 
U1  - 514.23  23
PY  - 2023///
CY  - Kolkata
PB  - Indian Statistical Institute
KW  - Topology
KW  - Algebric topology
KW  - Homology and cohomology theory
N1  - Thesis (Ph.D.)- Indian statistical Institute, 2023; Includes bibliography; Preliminaries on Equivariant Homotopy -- Equivariant cohomology with integer coefficients -- Homology Decompositions for Projective Spaces -- Homology decompositions for connected sums -- Ring Structure for Projective Spaces; Guided by Prof. Samik Basu
N2  - The purpose of this thesis is to discuss new calculations for the equivariant cohomology
of complex projective spaces. Given a complex representation V of a group G, one
obtains a “linear” G-action on P(V ) = the space of lines in V . The underlying space here is CPdim(V )−1 whose homology computation is well-known. The Borel-equivariant cohomology, which is the cohomology of the Borel construction, is easy to calculate as the space P(V ) has non-empty fixed points
UR  - http://dspace.isical.ac.in:8080/jspui/handle/10263/7437
ER  -