De Rham cohomology and homotopy Frobenius manifolds

Vladimir Dotsenko; Sergey Shadrin; Bruno Vallette

Journal of the European Mathematical Society (2015)

  • Volume: 017, Issue: 3, page 535-547
  • ISSN: 1435-9855

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.