Geodesic
De Rham cohomology and homotopy Frobenius manifolds
Journal of the European Mathematical Society, Tome 17 (2015) no. 3, pp. 535-547 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/510
Classification : 58-XX, 14-XX, 18-XX, 53-XX
Keywords: De Rham cohomology, homotopy Frobenius manifold, Poisson/Jacobi/contact manifold, multicomplex, Batalin–Vilkovisky algebra 
@article{JEMS_2015_17_3_a2,
     author = {Vladimir Dotsenko and Sergey Shadrin and Bruno Vallette},
     title = {De {Rham} cohomology and homotopy {Frobenius} manifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {535--547},
     year = {2015},
     volume = {17},
     number = {3},
     doi = {10.4171/jems/510},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/510/}
}
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%A Bruno Vallette
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%J Journal of the European Mathematical Society
%D 2015
%P 535-547
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%R 10.4171/jems/510
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Vladimir Dotsenko; Sergey Shadrin; Bruno Vallette. De Rham cohomology and homotopy Frobenius manifolds. Journal of the European Mathematical Society, Tome 17 (2015) no. 3, pp. 535-547. doi: 10.4171/jems/510

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