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- W2079249905 abstract "We describe two constructions giving rise to curved $A_{infty}$-algebras. The first consists of deforming $A_{infty}$-algebras, while the second involves transferring curved dg structures that are deformations of (ordinary) dg structures along chain contractions. As an application of the second construction, given a vector bundle on a polyhedron $X$, we exhibit a curved $A_{infty}$-structure on the complex of matrix-valued cochains of sufficiently fine triangulations of $X$. We use this structure as a motivation to develop a homotopy associative version of Chern-Weil theory." @default.
- W2079249905 created "2016-06-24" @default.
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- W2079249905 date "2011-01-11" @default.
- W2079249905 modified "2023-09-27" @default.
- W2079249905 title "Curved $A_{infty}$-algebras and Chern classes" @default.
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