We explain how shifted symplectic structures on derived stacks are connected to Calabi-Yau structures on differential graded categories. More concretely, we will show that the cotangent complex to the moduli stack of a differential graded category A is isomorphic to the moduli stack of the Calabi-Yau completion of A, answering a conjecture of Keller-Yeung.
De Cristina Manolache
De Andrea Ricolfi
De Andrea Ricolfi
