De Rham cohomology and homotopy Frobenius manifolds

Dotsenko, Vladimir, Shadrin, Sergey, and Vallette, Bruno. "De Rham cohomology and homotopy Frobenius manifolds." Journal of the European Mathematical Society 017.3 (2015): 535-547. <http://eudml.org/doc/277486>.

@article{Dotsenko2015,
abstract = {We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.},
author = {Dotsenko, Vladimir, Shadrin, Sergey, Vallette, Bruno},
journal = {Journal of the European Mathematical Society},
keywords = {De Rham cohomology; homotopy Frobenius manifold; Poisson/Jacobi/contact manifold; multicomplex; Batalin–Vilkovisky algebra; de Rham cohomology; homotopy Frobenius manifold; Poisson/Jacobi/contact manifold; multicomplex; Batalin-Vilkovisky algebra},
language = {eng},
number = {3},
pages = {535-547},
publisher = {European Mathematical Society Publishing House},
title = {De Rham cohomology and homotopy Frobenius manifolds},
url = {http://eudml.org/doc/277486},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Dotsenko, Vladimir
AU - Shadrin, Sergey
AU - Vallette, Bruno
TI - De Rham cohomology and homotopy Frobenius manifolds
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 3
SP - 535
EP - 547
AB - We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
LA - eng
KW - De Rham cohomology; homotopy Frobenius manifold; Poisson/Jacobi/contact manifold; multicomplex; Batalin–Vilkovisky algebra; de Rham cohomology; homotopy Frobenius manifold; Poisson/Jacobi/contact manifold; multicomplex; Batalin-Vilkovisky algebra
UR - http://eudml.org/doc/277486
ER -