Zobrazeno 1 - 10
of 190
pro vyhledávání: '"Goncharov, A. B."'
Autor:
Goncharov, Alexander B., Sun, Zhe
A decorated surface S is an oriented topological surface with marked points on the boundary considered modulo the isotopy. We consider the moduli space of hyperbolic structures on S with geodesic boundary, such that the hyperbolic structure near each
Externí odkaz:
http://arxiv.org/abs/2411.01615
Let G be a split, simple, simply connected, algebraic group over Q. The degree 4, weight 2 motivic cohomology group of the classifying space BG of G is identified with Z. We construct cocycles representing the generator of this group, known as the se
Externí odkaz:
http://arxiv.org/abs/2105.06426
Autor:
Goncharov, Alexander B.
We investigate geometric and combinatorial aspects of the mysterious relationship between the action of the motivic Galois group on the motivic fundamental group of the projective line punctured at zero, infinity, and N-th roots of unity, and the geo
Externí odkaz:
http://arxiv.org/abs/1910.10321
We prove Zagier's conjecture on the value at s=4 of the Dedekind zeta-function of a number field F. For any field F, we define a map from the appropriate pieces of algebraic K-theory of F to the cohomology of the weight 4 polylogarithmic motivic comp
Externí odkaz:
http://arxiv.org/abs/1803.08585
Autor:
Goncharov, Alexander B.
A decorated surface S is an oriented surface with punctures and a finite set of marked points on the boundary, such that each boundary component has a marked point. We introduce ideal bipartite graphs on S. Each of them is related to a group G of typ
Externí odkaz:
http://arxiv.org/abs/1607.05228
Autor:
Goncharov, Alexander B.
We introduce exponential complexes of sheaves on manifolds. They are resolutions of the (Tate twisted) constant sheaves of the rational numbers, generalising the short exact exponential sequence. There are canonical maps from the exponential complexe
Externí odkaz:
http://arxiv.org/abs/1510.07270
Autor:
Sadykov, Vladislav A., Pikalova, Elena Yu., Kolchugin, Alexander A., Fetisov, Andrey V., Sadovskaya, Ekaterina M., Filonova, Elena A., Eremeev, Nikita F., Goncharov, Vladimir B., Krasnov, Alexey V., Skriabin, Pavel I., Shmakov, Alexander N., Vinokurov, Zakhar S., Ishchenko, Arcady V., Pikalov, Sergey M.
Publikováno v:
In International Journal of Hydrogen Energy 7 May 2020 45(25):13625-13642
Autor:
Golden, John, Goncharov, Alexander B., Spradlin, Marcus, Vergu, Cristian, Volovich, Anastasia
In this paper we study motivic amplitudes--objects which contain all of the essential mathematical content of scattering amplitudes in planar SYM theory in a completely canonical way, free from the ambiguities inherent in any attempt to choose partic
Externí odkaz:
http://arxiv.org/abs/1305.1617
This paper combines several new constructions in mathematics and physics. Mathematically, we study framed flat PGL(K,C)-connections on a large class of 3-manifolds M with boundary. We define a space L_K(M) of framed flat connections on the boundary o
Externí odkaz:
http://arxiv.org/abs/1301.0192
Autor:
Arkani-Hamed, Nima, Bourjaily, Jacob L., Cachazo, Freddy, Goncharov, Alexander B., Postnikov, Alexander, Trnka, Jaroslav
We establish a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian. The central physical idea is to focus on on-shell diagrams as objects of fu
Externí odkaz:
http://arxiv.org/abs/1212.5605