AbstractDg manifolds are a useful geometric notion which unifies many important structures such ashomotopy Lie algebras, foliations and complex manifolds. In this talk, we describe a Duflo.Kontsevich type theorem for dg manifolds. The Duflo theorem of Lie theory and the Kontsevichtheorem regarding the Hoschschild cohomology of complex manifolds can both be derived asspecial cases of this Duflo-...
AbstractOptical quantum systems possess advantages such as simple bit manipulation and strong noise resistance, making them one of the most convenient and mature experimental platforms for simulating low-qubit systems and exploring fundamental quantum mechanics. Moreover, photons, serving as natural flying qubits, offer unparalleled advantages over other carriers in numerous quantum information...