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arXiv · 0806.0476

Real Homotopy Theory of Semi-Algebraic Sets

Robert Hardt·Pascal Lambrechts·Victor Tourtchine·Ismar Volic
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Abstract

We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebraic differential forms" in a functorial way. This algebra encodes the real homotopy type of the semi-algebraic set in the spirit of the DeRham algebra of differential forms on a smooth manifold. Its development is needed for Kontsevich's proof of the formality of the little cubes operad.

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BibTeXRIS

Robert Hardt, Pascal Lambrechts, Victor Tourtchine, Ismar Volic. 2011-01-27. Real Homotopy Theory of Semi-Algebraic Sets. https://doi.org/10.2140/agt.2011.11.2477

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