Goncharov, A. B.
- Multiple polylogarithms and mixed Tate motives
2001/03/08 by A. B. Goncharov, Goncharov, A. B. · 33 citations
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Molecular spectroscopy and chirality #math.AG #math.NT #msc:14F42
- Moduli spaces of local systems and higher Teichmuller theory
2003/11/10 by V. V. Fock, Fock, V. V., A. B. Goncharov +1 · 18 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
- Dual Teichmuller and lamination spaces
2005/10/14 by V. V. Fock, Fock, V. V., A. B. Goncharov +1 · 14 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Homotopy and Cohomology in Algebraic Topology
- Groupes fondamentaux motiviques de Tate mixte
2003/02/21 by Pierre Deligne, P. Deligne, A. B. Goncharov +2 · 10 citations
Mathematics · Psychology · Social Sciences · #Algebraic Geometry (math.AG) #Death, Funerary Practices, and Mourning #Diverse Cultural and Historical Studies #FOS: Mathematics #Number Theory (math.NT) #Psychoanalysis and Psychopathology Research #math.AG #math.NT
- Cluster ensembles, quantization and the dilogarithm
2003/11/14 by Fock, V. V., Goncharov, A. B. · 8 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA)
- Dimers and cluster integrable systems
2011/07/27 by A. B. Goncharov, Richard Kenyon, Goncharov, A. B. +1 · 6 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum many-body systems
- A simple construction of Grassmannian polylogarithms
2009/08/16 by A. B. Goncharov, Goncharov, A. B. · 5 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT)
- Galois symmetries of fundamental groupoids and noncommutative geometry
2002/08/20 by A. B. Goncharov, Goncharov, A. B. · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA
- Cluster X-varieties, amalgamation and Poisson-Lie groups
2005/08/22 by V. V. Fock, Fock, V. V., A. B. Goncharov +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
- Periods and mixed motives
2002/02/17 by A. B. Goncharov, Goncharov, A. B. · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.AG #math.NT
- The pentagon relation for the quantum dilogarithm and quantized M0,5
2007/06/27 by A. B. Goncharov, Goncharov, A. B. · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
- Cluster X-varieties at infinity
2011/04/03 by V. V. Fock, Fock, V. V., A. B. Goncharov +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons
- Explicit regulator maps on polylogarithmic motivic complexes
2000/03/15 by A. B. Goncharov, Goncharov, A. B. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.AG #math.KT #math.NT