29 citations · 131 across the 27 of their papers we have counts for
30 papers
Essential quotients of the cohomology of products of symmetric and alternating groups
Dana Hunter, Dev Sinha
We calculate the quotient of the mod-two cohomology of a product of symmetric and alternating groups by the ideal of negligible elements, namely those that restrict trivially to an…
Bar cohomology of links: beyond Milnor invariants
Greg Friedman, Nir Gadish, Robin Koytcheff +2
We develop bar cohomology of link complements as an invariant of links in homology spheres. In this setting, bar cohomology is a Hopf algebra which is calculable using surfaces and…
Infinitesimal calculations in fundamental groups
Nir Gadish, Aydin Ozbek, Dev Sinha +1
We show that Hopf invariants, defined by evaluation in Harrison cohomology of the commutative cochains of a space, calculate the logarithm map from a fundamental group to its Malce…
Cohomology rings of extended powers and free infinite loop spaces
L. Guerra, P. Salvatore, D. Sinha
We calculate mod-p cohomology of extended powers, and their group completions which are free infinite loop spaces. We consider the cohomology of all extended powers of a space toge…
Foundations of geometric cohomology: from co-orientations to product structures
Greg Friedman, Anibal M. Medina-Mardones, Dev Sinha
This manuscript develops a geometric approach to ordinary cohomology of smooth manifolds, constructing a cochain complex model based on co-oriented smooth maps from manifolds with…
Multilevel Richardson-Romberg and Importance Sampling in Derivative Pricing
Devang Sinha, Siddhartha P. Chakrabarty
In this paper, we propose and analyze a novel combination of multilevel Richardson-Romberg (ML2R) and importance sampling algorithm, with the aim of reducing the overall computatio…