A Batalin-Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials

DOI10.1016/j.topol.2013.06.010zbMath1282.55013arXiv0707.4213OpenAlexW1991118819MaRDI QIDQ387203

Tian Yang

Publication date: 20 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4213

zbMATH Keywords

Hochschild cohomologycomplex projective spacesstring topologyloop homologyBV-structure

Mathematics Subject Classification ID

Rational homotopy theory (55P62) String topology (55P50)

Related Items (12)

On the loop homology of complex projective spaces ⋮ The free loop space homology of \((n-1)\)-connected \(2n\)-manifolds ⋮ The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra ⋮ Higher operations in string topology of classifying spaces ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of zigzag algebra of type \(\widetilde{\mathbf{A}}_1\) ⋮ The Batalin-Vilkovisky structure over the Hochschild cohomology ring of exterior algebras ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras ⋮ Behavior of the Eilenberg-Moore spectral sequence in derived string topology ⋮ On the BV structure of the Hochschild cohomology of finite group algebras ⋮ The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products. ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces

Cites Work

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• Gerstenhaber duality in Hochschild cohomology
• Rational string topology
• String topology for spheres
• Cyclic homology and equivariant homology
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
• The rational homotopy type of configuration spaces of two points.
• A homotopy theoretic realization of string topology
• The cohomology structure of an associative ring
• String homology of spheres and projective spaces
• Dyer-Lashof operations in the string topology of spheres and projective spaces
• Rational BV-algebra in string topology

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