Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
Action angle maps and scattering theory for some finite dimensional integrable systems. 2: Solitons, anti-solitons, and their bound states
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Lectures establish correspondences between SU(N) gauge theories and Calogero-Moser-Sutherland systems via Hamiltonian reduction in low dimensions and supersymmetric dualities with Omega-deformation in four to six dimensions.
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Functoriality of logarithmic Hochschild homology of log smooth pairs
Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
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Lectures on Gauge theories and Many-Body systems
Lectures establish correspondences between SU(N) gauge theories and Calogero-Moser-Sutherland systems via Hamiltonian reduction in low dimensions and supersymmetric dualities with Omega-deformation in four to six dimensions.