Samik Basu

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math.AT2026

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 $\geq 5$ are topologically rigid in the sense that homotopy equivalence implies homeomorphism. In the smooth…

math.AT2026

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…

math.AT2026

Equivariant twisted $R$ -algebras via Thom spectra

Samik Basu, Abhinandan Das

For a $C_{2}$ -commutative ring spectrum $R$ , a twisted $R$ -algebra is an $R$ -module with a multiplication whose order is switched by the $C_{2}$ -action. In this paper, we construct var…

math.AT2026

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 $C P (V)$ and Grassmannians $G r_{n} (V)$ , for complex representations $V$ . When $V$ is a s…

math.AT2024

Equivariant cohomology for cyclic groups

Samik Basu, Pinka Dey

In this paper, we compute the $R O (C_{n})$ -graded coefficient ring of equivariant cohomology for cyclic groups $C_{n}$ , in the case of Burnside ring coefficients, and in the case of con…

Exotic structures on hyperbolic manifolds via the EO-theory of Projective Spaces

Local Inertness of Poincaré duality complexes

Equivariant twisted R-algebras via Thom spectra

Rational stable homotopy type of equivariant projective spaces and Grassmannians

Equivariant cohomology for cyclic groups

Equivariant twisted $R$ -algebras via Thom spectra