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V. Fock

7 papers hereh-index 213.4k citations37 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author7

Across the 7 of 7 papers where every author was matched, so the position is known.

fields
  • math.AG2
  • math.DG2
  • math.QA2
  • math.RT1

identity via Semantic Scholar / OpenAlex

activity
20032007
most citedThe quantum dilogarithm and representations quantum cluster varieties

220 citations · 259 across the 5 of their papers we have counts for

collaborators
Showing 2003 · math.AGShow all

2 papers · 2 filters

math.AG2003

Cluster ensembles, quantization and the dilogarithm

V. V. Fock, A. B. Goncharov

Cluster ensemble is a pair of positive spaces (X, A) related by a map p: A -> X. It generalizes cluster algebras of Fomin and Zelevinsky, which are related to the A-space. We devel…

math.AG2003★ 15 cited

Moduli spaces of local systems and higher Teichmuller theory

V. V. Fock, A. B. Goncharov

Let G be a split semisimple algebraic group with trivial center. Let S be a compact oriented surface, with or without boundary. We define {\it positive} representations of the fund…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.