Topological Quantum Field Theory in Two Dimensions

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The book explores the intricate relationship between open-closed topological conformal field theory and Batalin-Vilkovisky algebraic structures within moduli spaces of Riemann surfaces. It presents a solution to the quantum master equation of the BV algebra, contingent on initial conditions and the emergence of a new geometric chain theory linked to ordinary homology. The findings aim to illuminate the complexities of two-dimensional open-closed field theory, building on previous work by notable researchers in the field.