Arithmetic and Geometry Around Quantization (Progress in Mathematics)

Arithmetic Geometry

Topology of Hitchin systems and Hodge theory of character varieties: Topology of character varieties and representations of quivers , Comptes Rendus Mathematique , Volume , Issues , February , Pages doi: Arithmetic harmonic analysis on character and quiver varieties , Duke Mathematical Journal , Volume , Number 2 , , arXiv: Mixed Hodge polynomials of character varieties , Inventiones Mathematicae , , no.

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Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform , Proceedings of the National Academy of Sciences of the United States of America , no. Progress in Mathematics, Vol.

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On Yang-Mills-instantons on multi-centered metrics , arXiv: Hodge cohomology of gravitational instantons , Duke Mathematical Journal , Issue 3, , arXiv: Toric hyperkaehler varieties , Documenta Mathematica , 7 , , arXiv: Geometric interpretation of Schwarzschild instantons , Journal of Geometry and Physics , 37 arXiv: Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles , Proceedings of the London Mathematical Society 88 ,arXiv: Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles , Journal of the American Mathematical Society , 16 , , arXiv: Geometry of the moduli space of Higgs bundles, thesis for Ph.

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Algebra , Manoj Prakashan, Geometry of Hamiltonian N vectors in multisymplectic field theory - Paufler, Cornelius et al. Moreover, we construct infinitely many pairwise distinct non-closed seven-manifolds with spin structures which admit co-oriented contact structures and retract onto co-oriented contact submanifolds of co-dimension four. Proceedings of the Hyderabad conference. Renormalization of gauge theories using Hopf algebras Quantization of gauge fields, graph polynomials and graph cohomology with Dirk Kreimer and Matthias Sars.