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math.AG2024
Hodge structures on conformal blocks
Pierre Godfard
We prove existence and uniqueness of complex Hodge structures on modular functors. The proof is based on the non-Abelian Hodge correspondence and Ocneanu rigidity. Given a modular…
math.GT2024
Construction of Hodge structures on the modular functors
Pierre Godfard
We prove that modular functors in genus have geometric origin and support integral variations of Hodge structures for any odd level and -th root of unit…