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19912023
most citedNoncommutative Geometry and Matrix Theory: Compactification on Tori

1.4k citations · 4.6k across the 75 of their papers we have counts for

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Showing 1999Show all

3 papers · 1 filter

hep-th1999★ 6 cited

Noncommutative supergeometry and duality

Albert Schwarz

We introduce a notion of Q-algebra that can be considered as a generalization of the notion of Q-manifold (a supermanifold equipped with an odd vector field obeying {Q,Q} =0). We d…

hep-th1999★ 7 cited

Quantum observables, Lie algebra homology and TQFT

Albert Schwarz

Let us consider a Lie (super)algebra spanned by where are quantum observables in BV-formalism. It is proved that for every tensor that determines a…

math.QA1999★ 11 cited

Projective modules over non-commutative tori: classification of modules with constant curvature connection

Alexander Astashkevich, Albert Schwarz

We study finitely generated projective modules over noncommutative tori. We prove that for every module with constant curvature connection the corresponding element of th…