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math.AT2026
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…
math.AT2025
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…