Kavli Affiliate: Yukinobu Toda | First 5 Authors: Yukinobu Toda, , , , | Summary: We prove two kinds of $mathbb{Z}/2$-periodic Koszul duality equivalences for triangulated categories of matrix factorizations associated with $(-1)$-shifted cotangents over quasi-smooth affine derived schemes. We use this result to define $mathbb{Z}/2$-periodic version of Donaldson-Thomas categories for local surfaces, whose $mathbb{C}^{ast}$-equivariant […]
Continue.. Categorical Donaldson-Thomas theory for local surfaces: $mathbb{Z}/2$-periodic version