Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Kontsevich, Maxim"'
Autor:
Kontsevich, Maxim, Soibelman, Yan
In the first of the series of papers devoted to our project ``Holomorphic Floer Theory" we discuss exponential integrals and related wall-crossing structures. We emphasize two points of view on the subject: the one based on the ideas of deformation q
Externí odkaz:
http://arxiv.org/abs/2402.07343
Autor:
Kenyon, Richard, Kontsevich, Maxim, Ogievetsky, Oleg, Pohoata, Cosmin, Sawin, Will, Shlosman, Senya
For partially ordered sets $X$ we consider the square matrices $M^{X}$ with rows and columns indexed by linear extensions of the partial order on $X$. Each entry $\left( M^{X}\right)_{PQ}$ is a formal variable defined by a pedestal of the linear orde
Externí odkaz:
http://arxiv.org/abs/2401.05291
Autor:
Kontsevich, Maxim, Odesskii, Alexander
We investigate the question: for which functions $f(x_1,...,x_n),~g(x_1,...,x_n)$ the asymptotic expansion of the integral $\int g(x_1,...,x_n) e^{\frac{f(x_1,...,x_n)+x_1y_1+...+x_ny_n}{\hbar}}dx_1...dx_n$ consists only of the first term. We reveal
Externí odkaz:
http://arxiv.org/abs/2306.02178
We develop a theory of Burnside rings in the context of birational equivalences of algebraic varieties equipped with logarithmic volume forms. We introduce a residue homomorphism and construct an additive invariant of birational morphisms. We also de
Externí odkaz:
http://arxiv.org/abs/2301.02899
We elucidate the relation between smooth Calabi-Yau structures and pre-Calabi-Yau structures. We show that, from a smooth Calabi-Yau structure on an $A_\infty$-category $A$, one can produce a pre-Calabi-Yau structure on $A$; as defined in our previou
Externí odkaz:
http://arxiv.org/abs/2301.01567
We introduce a notion generalizing Calabi-Yau structures on A-infinity algebras and categories, which we call pre-Calabi-Yau structures. This notion does not need either one of the finiteness conditions (smoothness or compactness) which are required
Externí odkaz:
http://arxiv.org/abs/2112.14667
Let R be a non-commutative field. We prove that generic triples of flags in an m-dimensional R-vector space are described by flat R-line bundles on the honeycomb graph with (m-1)(m-2)/2 holes. Generalising this, we prove that non-commutative stacks X
Externí odkaz:
http://arxiv.org/abs/2108.04168
Autor:
Kontsevich, Maxim, Segal, Graeme
We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian m
Externí odkaz:
http://arxiv.org/abs/2105.10161
Autor:
Kontsevich, Maxim, Odesskii, Alexander
We introduce the notion of multiplication kernels of birational and $D$-module type and give various examples. We also introduce the notion of a semi-classical multiplication kernel associated with an integrable system and discuss its quantization. F
Externí odkaz:
http://arxiv.org/abs/2105.04238
Autor:
Iyudu, Natalia, Kontsevich, Maxim
We prove $L_{\infty}$-formality for the higher cyclic Hochschild complex $\chH$ over free associative algebra or path algebra of a quiver. The $\chH$ complex is introduced as an appropriate tool for the definition of pre-Calabi-Yau structure. We show
Externí odkaz:
http://arxiv.org/abs/2011.11888