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Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra
This paper gives a generalization of some results on Hilbert schemes of points on surfaces. Let M G (r, n) (resp. M U (r, n)) be the Gieseker (resp. Uhlenbeck) compactification of the moduli spacesExpand
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Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections
Let Y,Z be a pair of smooth coisotropic subvarieties in a smooth algebraic Poisson variety X. We show that any data of first order deformation of the structure sheaf O_X to a sheaf of noncommutativeExpand
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A UNIVERSAL ENVELOPING FOR L1-ALGEBRAS.
For any L1-algebra L we construct an A1-algebra structure on the sym- metric coalgebra Sym ⁄(L) and prove that this structure satisfles properties generalizing those of the usual universal envelopingExpand
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Russia: A Part of Europe or Apart from Europe?
The controversial framework of interaction between Russia and Europe is defined by some enduring parameters—geographic realities, historical experiences, religious beliefs, normative values,Expand
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Conjugacy classes in loop groups and G-bundles on elliptic curves
We added an additional result (theorem 1.6) that strengthenns our main theorem in the G=GL-case by establishing an equivalence of tensor categories.
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Quantization of line bundles on lagrangian subvarieties
We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixedExpand
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Uhlenbeck Compactification As a Functor
We give a definition of a functor compactifying the functor of bundles on a surfaces. Earlier different authors have defined similar spaces as either images under a morphism or a quotient by anExpand
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Quantization of Vector Bundles on Lagrangian Subvarieties
We consider a smooth Lagrangian subvariety Y in a smooth algebraic variety X with an algebraic symplectic from. For a vector bundle E on Y and a choice Oh of deformation quantization of the structureExpand
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Microdispersive superconductors in ceramic and polymeric matrix
The influences of the host material on the superconducting properties of the composite material are studied in the following cases: (i) niobium powder—aluminium oxide, (ii) technetium—rare earthExpand
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