Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
Abstract
We identify the double dual EPW sextic YA and the double EPW sextic YA, associated with a very general Gushel-Mukai fourfold X, with the Bridgeland moduli spaces of stable objects of character 1 and 2 in the Kuznetsov component Ku(X). This provides an affirmative answer to a question of Perry-Pertusi-Zhao. As an application, we prove a conjecture of Kuznetsov-Perry for very general Gushel-Mukai fourfolds.
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