Piecewise algebraic space
From HandWiki - Reading time: 1 min
Short description: Generalization of a semialgebraic set
In mathematics, a piecewise algebraic space is a generalization of a semialgebraic set, introduced by Maxim Kontsevich and Yan Soibelman. The motivation was for the proof of Deligne's conjecture on Hochschild cohomology. Robert Hardt, Pascal Lambrechts, Victor Turchin, and Ismar Volić later developed the theory.
References
- Hardt, Robert; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar (2011). "Real homotopy theory of semi-algebraic sets". Algebraic & Geometric Topology 11 (5): 2477–2545. doi:10.2140/agt.2011.11.2477.
- Maxim Kontsevich and Yan Soibelman. “Deformations of algebras over operads and the Deligne conjecture”. In: Conférence Moshé Flato 1999, Vol. I (Dijon). Vol. 21. Math. Phys. Stud. Dordrecht: Kluwer Acad. Publ., 2000, pp. 255–307. arXiv: math/0001151.
 |  |
Licensed under CC BY-SA 3.0 | Source: https://handwiki.org/wiki/Piecewise_algebraic_space10 views | Status: cached on May 20 2026 15:26:38↧ Download this article as ZWI file
EncycloReader
is supported by the 
KSF