Pavel Hájek

activity

20182026

collaborators

Showing math.ATShow all

3 papers · 1 filter

math.AT2026

Uniqueness of differential Poincaré duality models

Pavel Hájek

We prove the remaining even-dimensional case of the Lambrechts--Stanley "uniqueness" conjecture for 1-connected differential Poincaré duality models. Together with our previous odd…

math.AT2022

Chain-level equivariant string topology: algebra versus analysis

Kai Cieliebak, Pavel Hajek, Evgeny Volkov

We prove that on 2-connected closed oriented manifolds, the analytic and algebraic constructions of an IBL $_{\infty}$ structure associated to a closed oriented manifold coincide. The…

math.AT2020

Hodge decompositions and Poincare duality models

Pavel Hajek

We extend a CDGA $V$ with a perfect pairing of degree $n$ on cohomology to a CDGA $V^$ with a pairing of degree $n$ on chain level such that $V^$ admits a Hodge decompositi…