A. Goncharov

发表

Integral geometry and three-dimensional reconstruction of randomly oriented identical particles from their electron microphotos

A. Goncharov, 1988 .

Determination of the spatial orientation of arbitrarily arranged identical particles of unknown structure from their projections

A. Goncharov, B. Vainshtein, 1986 .

Periods and mixed motives

A. Goncharov, 2002, math/0202154.

Multiple polylogarithms and mixed Tate motives

A. Goncharov, A. B. Goncharov, 2001 .

Polylogarithms in Arithmetic and Geometry

A. Goncharov, 1995 .

Multiple polylogarithms, cyclotomy and modular complexes

A. Goncharov, A. B. Goncharov, 2011, 1105.2076.

Best exponents in Markov's inequalities

A. Goncharov, 2014 .

Polylogarithms and motivic Galois groups

A. Goncharov, 2013 .

Geometry of Configurations, Polylogarithms, and Motivic Cohomology

A. Goncharov, 1995 .

The Classical Polylogarithms, Algebraic K -Theory And ζ F ( n )

A. Goncharov, 1993 .

The classical trilogarithm, algebraic $K$-theory of fields, and Dedekind zeta functions

A. Goncharov, 1991 .

Deninger's conjecture onL-functions of elliptic curves ats=3

A. Goncharov, 1995, alg-geom/9512016.

The Galois group of the category of mixed Hodge–Tate structures

A. Goncharov, Guangyu Zhu, 2017, 1705.08175.

Exponential complexes, period morphisms, and characteristic classes

A. Goncharov, 2015, 1510.07270.

Motivic fundamental group of ${\Bbb G}_m-\mu_N$ and modular manifolds

A. Goncharov, 2019, 1910.10321.

K-decompositions and 3d gauge theories

A. Goncharov, T. Dimofte, Maxime Gabella, 2013, 1301.0192.

Geometry of canonical bases and mirror symmetry

A. Goncharov, Li-Chien Shen, 2013, 1309.5922.

Multiple polylogarithms and mixed Tate motives

A. Goncharov, 2001, math/0103059.

Classical polylogarithms for amplitudes and Wilson loops.

A. Goncharov, M. Spradlin, C. Vergu, 2010, Physical review letters.

Moduli spaces of local systems and higher Teichmüller theory

A. Goncharov, V. Fock, 2003, math/0311149.

Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories

A. Goncharov, 2016, 1607.05228.

Donaldson-Thomas trasnsformations of moduli spaces of G-local systems

A. Goncharov, Li-Chien Shen, 2016, 1602.06479.

Dual Teichmuller and lamination spaces

A. Goncharov, V. Fock, 2005, math/0510312.

Euclidean scissor congruence groups and mixed Tate motives over dual numbers

A. Goncharov, 2004, math/0401354.

A simple construction of Grassmannian polylogarithms

A. Goncharov, 2009, 0908.2238.

M ar 2 01 3 A simple construction of Grassmannian polylogarithms

A. Goncharov, 2022 .

The quantum dilogarithm and representations of quantum cluster varieties

A. Goncharov, V. Fock, 2007, math/0702397.

The quantum dilogarithm and unitary representations of the cluster mapping class groups

A. Goncharov, V. Fock, 2007 .

Volumes of hyperbolic manifolds and mixed Tate motives

A. Goncharov, 1996, alg-geom/9601021.

Cluster χ-varieties, amalgamation, and Poisson—Lie groups

A. Goncharov, V. Fock, 2005, math/0508408.

Determination of mutual orientation of identical particles from their projections by the moments method

A. Goncharov, A. B. Goncharov, M. S. Gelfand, 1988 .

Scattering Amplitudes and the Positive Grassmannian

A. Postnikov, A. Goncharov, N. Arkani-Hamed, 2012, 1212.5605.

Dimers and cluster integrable systems

R. Kenyon, A. Goncharov, A. B. Goncharov, 2011, 1107.5588.

Cluster ensembles, quantization and the dilogarithm

A. Goncharov, V. Fock, 2003, math/0311245.

Galois symmetries of fundamental groupoids and noncommutative geometry

A. Goncharov, 2002, math/0208144.

Grassmannian Geometry of Scattering Amplitudes

A. Postnikov, A. Goncharov, N. Arkani-Hamed, 2016 .

Mityagin's Extension Problem. Progress Report

A. Goncharov, Zeliha Ural, 2016, 1606.08606.

Motivic amplitudes and cluster coordinates

J. Golden, A. Goncharov, M. Spradlin, 2013, 1305.1617.

Quantum geometry of moduli spaces of local systems and representation theory

A. Goncharov, Li-Chien Shen, 2019, 1904.10491.

Multiple Logarithms, Algebraic Cycles and Trees

A. Goncharov, H. Gangl, A. Levin, 2005, math/0504552.

Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$

A. Goncharov, Y. Manin, 2004, Compositio Mathematica.

Periods and mixed motives

A. Goncharov, 2002, math/0202154.

Multiple ζ -motives and moduli spaces M 0 ,n

A. Goncharov, Y. Manin, 2002 .

Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)

A. Goncharov, D. Rudenko, 2018, 1803.08585.

Polylogarithms, regulators, and Arakelov motivic complexes

A. Goncharov, 2002, math/0207036.

Geometry of the trilogarithm and the motivic Lie algebra of a field

A. Goncharov, 2000, math/0011168.

Cluster Poisson varieties at infinity

A. Goncharov, V. Fock, 2016 .

Cluster X-varieties at infinity

A. Goncharov, V. Fock, 2011, 1104.0407.

Multiple ζ-Values, Galois Groups, and Geometry of Modular Varieties

A. Goncharov, 2001 .

Multiple zeta-motives and moduli spaces M_{0,n}

A. Goncharov, Y. Manin, 2002, math/0204102.

Galois Representations in Arithmetic Algebraic Geometry: Mixed elliptic motives

Alexander Goncharov, A. Goncharov, 1998 .

THE DOUBLE LOGARITHM AND MANIN'S COMPLEX FOR MODULAR CURVES

A. Goncharov, 1997 .

Multiple zeta-values, Galois groups, and geometry of modular varieties

A. Goncharov, 2000, math/0005069.

Grassmannian Trilogarithms

A. Goncharov, J. Zhao, 2000, Compositio Mathematica.

Explicit regulator maps on polylogarithmic motivic complexes

A. Goncharov, 2000, math/0003086.

Deninger's conjecture onL-functions of elliptic curves ats=3

A. Goncharov, 1995, alg-geom/9512016.

Chow polylogarithms and regulators

A. Goncharov, 1995 .

Explicit construction of characteristic classes

A. Goncharov, 1993 .

Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane

Alexander Varchenko, A. Goncharov, A. Varchenko, 2007 .

Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc

A. Goncharov, 2007 .

The dihedral Lie algebras and Galois symmetries of À1(P1-({0,∞} ∪ μN).

A. Goncharov, 2001 .

Cluster Poisson varieties at infinity

A. Goncharov, V. Fock, 2016, Selecta Mathematica.

The dihedral Lie algebras and Galois symmetries of \pi_1^l(P^1 - 0, infinity and N-th roots of unity)

A. Goncharov, 2000, math/0009121.

A ug 2 00 2 Galois symmetries of fundamental groupoids

A. Goncharov, 2009 .

Euler Complexes and Geometry of Modular Varieties

A. Goncharov, 2005, math/0510310.

Galois groups, geometry of modular varieties and graphs

A. Goncharov, 2005 .

Motivic amplitudes and cluster coordinates

A. Goncharov, M. Spradlin, C. Vergu, 2014, Journal of High Energy Physics.

un 2 00 4 Polylogarithms , regulators , and Arakelov motivic complexes

A. Goncharov, 2002 .

Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties

A. Goncharov, M. Kontsevich, 2021, 2108.04168.

Differential Equations and Integral Geometry

Alexander Goncharov, A. Goncharov, 1997 .

A proof of the pentagon relation for the quantum dilogarithm

A. Goncharov, 2007 .

The pentagon relation for the quantum dilogarithm and quantized M_{0,5}

A. Goncharov, Sasha Reznikov, 2007, 0706.4054.

INTEGRAL GEOMETRY AND D-MODULES

A. Goncharov, 2004 .

Spatial rotational alignment of identical particles in the case of (almost) coaxial projections.

A. Goncharov, M. Gelfand, 1989, Ultramicroscopy.

Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner

A. Goncharov, V. Fock, 2007, math/0702398.

Hodge Correlators II

A. Goncharov, 2008, 0807.4855.

The dihedral Lie algebras and Galois symmetries of $\pi_1^{(l)}(\mathbb{P}-(\{0,\infty\}\cup \mu_N))$

A. Goncharov, 2001 .

Regulators

A. Goncharov, A. Goncharov, 2004, math/0407308.

Moduli spaces of convex projective structures on surfaces

A. Goncharov, V. Fock, 2004, math/0405348.

Bases in some spaces of Whitney functions

A. Goncharov, Zeliha Ural, 2017 .

Integral geometry and differential equations

A. Goncharov, 2005 .