The authors prove that Gr(Ch×Dv) is naturally equivalent to C⊗D, settling Gaitsgory and Rozenblyum's final conjecture, and establish a companion-based universal property of the squares functor.
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On the squares functor and the Gaitsgory-Rozenblyum conjectures
The authors prove that Gr(Ch×Dv) is naturally equivalent to C⊗D, settling Gaitsgory and Rozenblyum's final conjecture, and establish a companion-based universal property of the squares functor.