3 papers
math.AT2025
On the generalized brace product: relation to -splitting of loop space fibrations \& the -homomorphism
Somnath Basu, Aritra Bhowmick, Sandip Samanta
Given a fibration with a homotopy section , James introduced a binary product $\left\{, \right\}_s: Ï_i B \times Ï_j F \ri…
math.CO2025
Equivalence Between Four Models of Associahedra
Somnath Basu, Sandip Samanta
We present a combinatorial isomorphism between Stasheff associahedra and an inductive cone construction of those complexes given by Loday. We give an alternate description of certa…
math.DG2025
On manifolds homeomorphic to spheres
Somnath Basu, Sachchidanand Prasad
We prove a result analogous to Reeb's theorem in the context of Morse-Bott functions: if a closed, smooth manifold admits a Morse-Bott function having two critical submanifolds…