11 citations · 16 across the 4 of their papers we have counts for
4 papers
String topology operations under Chen's iterated integrals and homotopy transfer
Kai Cieliebak, Evgeny Volkov
We develop the analytical foundations for integrals over configuration spaces used to relate chain-level -equivariant string topology to perturbative Chern-Simons theory. As a…
Chern-Simons theory and string topology
Kai Cieliebak, Evgeny Volkov
We construct chain-level -equivariant string topology for each simply connected closed manifold. This amounts to constructing a Maurer-Cartan element for the canonical involut…
A note on the stationary Euler equations of hydrodynamics
K. Cieliebak, E. Volkov
This note concerns stationary solutions of the Euler equations for an ideal fluid on a closed 3-manifold. We prove that if the velocity field of such a solution has no zeroes and r…
Stable Hamiltonian structures in dimension three are supported by open books
Kai Cieliebak, Evgeny Volkov
We prove that every stable Hamiltonian structure on a closed oriented three-manifold is stably homotopic to one which is supported (with suitable signs) by an open book.