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- W4291319086 abstract "We show that the complex $C_bullet X$ of rational simplicial chains on a compact and triangulated Poincar'e duality space $X$ of dimension $d$ is an A$_infty$ coalgebra with $infty$ duality. This is the structure required for an A$_infty$ version of the cyclic Deligne conjecture. One corollary is that the shifted Hochschild cohomology $HH^{bullet+d} (C^bullet X, C_bullet X)$ of the cochain algebra $C^bullet X$ with values in $C_bullet X$ has a BV structure. This implies, if $X$ is moreover simply connected, that the shifted homology $H_{bullet+d}LX$ of the free loop space admits a BV structure. An appendix by Dennis Sullivan gives a general local construction of $infty$ structures." @default.
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- W4291319086 date "2003-09-28" @default.
- W4291319086 modified "2023-09-29" @default.
- W4291319086 title "Infinity Structure of Poincare Duality Spaces" @default.
- W4291319086 doi "https://doi.org/10.48550/arxiv.math/0309455" @default.
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