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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Alexey Basalaev

Cohomological field theories on Losev-Manin mospace

Losev-Manin space if the first example of the moduli space of weighted pointed curves. Besides being weighted it admits "usual" (by Kontsevich-Manin) definition of Cohomological field theory. It turns out that weighted approach is needed in more general cases of weighted moduli spaces. The "weighted" extension of the CohFT will be given, including a conjecture concerning the group action on them.