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Sep 25, 2009 · Tamarkin gave an alternative proof of Kontsevich’s theorem; it follows from his construction that to any Drinfeld associator there corresponds a homotopy class of L ∞-quasi-isomorphisms. In particular, it is known that there exist rational Drinfeld associators (although no explicit formula was found) that lead to L ∞ -morphisms and universal star products defined over .
Apr 17, 2023 · Using matrix model, Mironov and Morozov recently gave a formula which represents Kontsevich–Witten tau function as a linear expansion of Schur Q-polynomials. In this paper, we will show directly that the Q-polynomial expansion in this formula satisfies the Virasoro constraints, and consequently obtains a proof of this formula without using matrix model. We also give a proof for Alexandrov ...
Maxim Kontsevich’s work straddles the interface of physics and math. Much of it has been in string theory, in which the familiar particles and forces of physics are described in terms of the shapes and vibrations of incredibly tiny “strings.”. Some versions of the theory extend the idea of strings to multidimensional membranes or ...
Maxim Kontsevich’s work straddles the interface of physics and math. Much of it has been in string theory, in which the familiar particles and forces of physics are described in terms of the shapes and vibrations of incredibly tiny “strings.”. Some versions of the theory extend the idea of strings to multidimensional membranes or ...
Jul 1, 2024 · Kontsevich's integral is a far-reaching generalization of the Gauss integral for the linking number, and provides a tool to construct the universal Vassiliev invariant of a knot. In fact, any Vassiliev knot invariant can be derived from it. To construct the Kontsevich integral, represent the three-dimensional space R^3 as a direct product of a complex line C with coordinate z and a real line R ...
Moses [note 1] was a Hebrew prophet, teacher and leader, [2] according to Abrahamic tradition. He is considered the most important prophet in Judaism [3] [4] and Samaritanism, and one of the most important prophets in Christianity, Islam, the Baháʼí Faith, and other Abrahamic religions. According to both the Bible and the Quran, [5] Moses ...
Jan 22, 2019 · 18.2 Moduli Spaces of Stable Maps. Kontsevich’s calculation is an easy corollary of a quite general result on the associativity of the so-called quantum cohomology. To define it, we need the notions of a stable map and a moduli space of stable maps. Let M be a compact complex manifold of arbitrary dimension.
