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math.AC2026
Poincaré Duality and Quadratic Refinements over Laurent Rings
Błażej Ruba, Bowen Yang
We develop a Poincaré duality theory for defects of nondegenerate sesquilinear pairings over Laurent polynomial rings. A key ingredient is a novel flat resolution of the character…
math-ph2026
Random field approximation and local counting statistics for the weakly interacting thermal Bose gas
Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba
We study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the exp…