3 papers
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-ph2020
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…
math-ph2018
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…