9 citations · 9 across the 4 of their papers we have counts for
5 papers
Calculating Archimedean Height Pairing via generalized cross-ratio
Alexander B. Goncharov
During the last several years, Spencer Bloch emphasized that Archimedean hight pairings between two homologically trivial cycles of complimentary arithmetic dimensions, or the clos…
Non-commutative cluster Lagrangians
Alexander B. Goncharov, Maxim Kontsevich
The space Loc(m,S) of rank m flat bundles on a closed surface S is K_2-symplectic. A threefold M bounding S gives rise a K_2-Lagrangian in Loc(m,S) given by the flat bundles on S e…
Quantum polylogarithms
Alexander B. Goncharov
Multiple polylogarithms are periods of variations of mixed Tate motives. Conjecturally, they deliver all such periods. We introduce deformations of multiple polylogarithms dependin…
Exponential volumes of moduli spaces of hyperbolic surfaces
Alexander B. Goncharov, Zhe Sun
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…
Grassmannian trilogarithms
A. B. Goncharov, J. Zhao
Some time ago the first author suggested two different constructions of Grassmannian n-logarithms. One of them works for all n, but its motivic nature is hidden. The other is a mot…