19 citations · 19 across the 1 of their papers we have counts for
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Integrality of instanton numbers
Vadim Vologodsky
We prove the results announced in a joint paper (arXiv:hep-th/0603106) with Maxim Kontsevich and Albert Schwarz.
Non-commutative compactifications and elliptic curves
Yan Soibelman, Vadim Vologodsky
We study non-commutative degenerations of elliptic curves over local fields. The corresponding objects are close relatives of non-commutative tori of Connes and Rieffel.
Hodge structure on the fundamental group and its application to p-adic integration
Vadim Vologodsky
We study the unipotent completion of the de Rham fundamental groupoid [De] of a smooth algebraic variety over a local non-archimedean field K of charac…
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…