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Dennis V. Borisov

3 papers hereh-index 5185 citations27 works total

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

author position
  • sole author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.AG2
  • math.QA1

identity via Semantic Scholar / OpenAlex

most citedFormal deformations of morphisms of associative algebras

7 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

math.QA2009

What is the higher dimensional infinitesimal groupoid of a manifold?

Dennis Borisov

The construction (by Kapranov) of the space of infinitesimal paths on a manifold is extended to include higher dimensional infinitesimal objects, encoding contractions of infinites…

math.AG2005

Homotopy Gerstenhaber structure on deformation complex of a morphism

Dennis V. Borisov

G∞​-structure is shown to exist on the deformation complex of a morphism of associative algebras. The main step of the construction is extension of a B∞​-algebra by a…

math.AG2005★ 7 cited

Formal deformations of morphisms of associative algebras

Dennis V. Borisov

The strong homotopy Lie algebra, controlling simultaneous deformations of a morphism of associative algebras and its domain and codomain is constructed. Isomorphism of the cohomolo…

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