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math.AG2021★ 1 cited
Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties
Alexander Goncharov, Maxim Kontsevich
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…
math.AG2021
Cluster construction of the second motivic Chern class
Alexander B. Goncharov, Olexii Kislinskyi
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 constr…