6 papers
Equivariant formality for rational $\C_{p^k}$-spaces
Rekha Santhanam, Bittu Singh, Soumyadip Thandar
In this paper, we discuss equivariant formality for spaces equipped with a primary cyclic group action. We study the behavior of equivariant formality with some topological constru…
Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
We construct two word metrics on the same seven-dimensional torsion-free nilpotent lattice whose asymptotic cones are isometric, but for which every quasi-isometry has multiplicati…
Linear-growth harmonic functions for nonsymmetric random walks on groups of polynomial growth
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
Let be a finitely generated group of polynomial growth and let be an adapted, Abelian-centered probability measure with a finite exponential moment (not necessarily symmetr…
Green geometry, Martin boundary and random walk asymptotics on groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
We identify a single computationally checkable analytic quantity interlacing Martin boundary collapse, Green geometry, and linear escape for transient random walks on finitely gene…
Higher topological complexity of Seifert fibered manifolds
Navnath Daundkar, Rekha Santhanam, Soumyadip Thandar
In this article, we investigate the higher topological complexity of oriented Seifert fibered manifolds that are Eilenberg--MacLane spaces with infinite fundamental group…
Equivariant Intrinsic Formality
Rekha Santhanam, Soumyadip Thandar
Algebraic models for equivariant rational homotopy theory were developed by Triantafillou and Scull for finite group actions and action, respectively. They showed that given…