6 papers
Exotic structures on hyperbolic manifolds via the EO-theory of Projective Spaces
Samik Basu, Akashdwip Biswas
Farrell and Jones showed that negatively curved manifolds in dimension are topologically rigid in the sense that homotopy equivalence implies homeomorphism. In the smooth…
Local Inertness of Poincaré duality complexes
Samik Basu, Sebastian Chenery, Ruizhi Huang +2
We prove that, under certain homological conditions, the attaching map of the top cell of a Poincaré duality complex is inert when localised away from a finite set of primes. This…
Equivariant twisted -algebras via Thom spectra
Samik Basu, Abhinandan Das
For a -commutative ring spectrum , a twisted -algebra is an -module with a multiplication whose order is switched by the -action. In this paper, we construct var…
Rational stable homotopy type of equivariant projective spaces and Grassmannians
Samik Basu, Vanny Doem, Chandal Nahak
We prove explicit rational stable splittings of equivariant complex projective spaces and Grassmannians , for complex representations . When is a s…
The complex K ring of the flip Stiefel manifolds
Samik Basu, Shilpa Gondhali, Fathima Safikaa
The flip Stiefel manifolds (FV_{m,2s}) are defined as the quotient of the real Stiefel manifolds (V_{m,2s}) induced by the simultaneous pairwise flipping of the co-ordinates by the…
Equivariant cohomology for cyclic groups
Samik Basu, Pinka Dey
In this paper, we compute the -graded coefficient ring of equivariant cohomology for cyclic groups , in the case of Burnside ring coefficients, and in the case of con…