Titlebook: Mathematical Aspects of Quantum Field Theories; Damien Calaque,Thomas Strobl Book 2015 Springer International Publishing Switzerland 2015

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Symplectic and Poisson Geometry of the Moduli Spaces of Flat Connections Over Quilted Surfaceseous spaces, moduli spaces for meromorphic connections over Riemann surfaces (following the work of Philip Boalch), and various symplectic groupoids. Realizing these examples as moduli spaces for . provides new insights into their geometry.

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Local BRST Cohomology for AKSZ Field Theories: A Global Approachohomology are isomorphic to the cohomology of the target space differential “twisted” by the de Rham cohomology of the base manifold. This generalizes the local result of G. Barnich and M.?Grigoriev, computed for a flat base manifold.

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Book 2015ongoing research..This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed..Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a

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Damien Calaque,Thomas StroblLeading experts in the field present the latest advances in quantum field theories.Reflecting the diversity of approaches and tools developed in the last years.With a part dedicated to (semi-)classica