搜索结果: 1-7 共查到“数学 KONTSEVICH”相关记录7条 . 查询时间(0.733 秒)
We show that a certain class of varieties with origin in Physics,
generates (additively) the Denef-Loeser ring of Motives. In particular, this
disproves a conjecture of Kontsevich on the number of p...
We give an elementary proof of the Kontsevich conjecture that asserts that the iterations of the noncommutative rational map K_r:(x,y)-->(xyx^{-1},(1+y^r)x^{-1}) are given by noncommutative Laurent po...
We prove a conjecture of Kontsevich which states that if $A$ is an $E_{d-1}$ algebra then the Hochschild cohomology object of $A$ is the universal $E_d$ algebra acting on $A$. The notion of an $E_d$ ...
M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra
Formality Deformation Quantization Operads
2010/12/1
We show that the zeroth cohomology of Kontsevich’s graph complex is isomorphic to the Grothendieck-Teichm¨uller Lie algebra grt. The map is explicitly described.
A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle
geometric criterion non-uniform hyperbolicity Kontsevich--Zorich cocycle
2010/12/10
We prove a geometric criterion on a SL(2,R)-invariant ergodic probability measure on the moduli space of holomorphic abelian differentials on Riemann surfaces for the non-uniform hyperbolicity of the ...
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kontsevich constants volume of the moduli of curves topological recursion
2010/12/3
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean
volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion
comes from the edg...
Trace Functionals of the Kontsevich Quantization
Trace Functionals Kontsevich Quantization
2010/10/29
We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpo...