Fourier transform preserves cohomological rigidity I
AbstractAround 2008, de Cataldo, Hausel, and Migliorini proposed the P=W conjecture, which predicts aconnection between the topology of the Hitchin system and the Hodge theory of the charactervariety under the non-abelian Hodge correspondence. Since then, much effort has been devoted tounderstanding this myterious phenomenon, leading to the discovery of new geometric structures onboth the Higgs...
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