Fundamental Factorization of a GLSM Part I: Construction J. Sean Doody the ideas of Alfred Adler

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Fundamental Factorization of a GLSM Part I: Construction J. Sean Doody the ideas of Alfred AdlerWe define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases these invariants recover both the Gromov Witten type invariants defined by Chang Li and Fan Jarvis Ruan using cosection localization as well as the FJRW type invariants constructed by Polishchuk Vaintrob. The invariants are defined by constructing a "fundamental factorization" supported on the moduli space of Landau Ginzburg