4 citations · 7 across the 4 of their papers we have counts for
5 papers
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…
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 structure associated to a closed oriented manifold coincide. The…
Hodge decompositions and Poincare duality models
Pavel Hajek
We extend a CDGA with a perfect pairing of degree on cohomology to a CDGA with a pairing of degree on chain level such that admits a Hodge decompositi…
IBL-Infinity Model of String Topology from Perturbative Chern-Simons Theory
Pavel Hajek
Following Cieliebak, Fukaya, Latschev and Volkov, we construct an IBL-infinity chain model for equivariant string topology on cyclic Hochschild cochains of de Rham cohomology. We s…
Twisted IBL-infinity-algebra and string topology: First look and examples
Pavel Hajek
We study the application of IBL-infinity-algebras to string topology and explicitly compute the case of spheres. This involves finding a Green kernel and computing integrals associ…