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math-ph2024
On induced L-infinity action of diffeomorphisms on Cochains
Andrey Losev, Dmitrii Sheptunov, Xin Geng
One of the approaches to quantum gravity is to formulate it in terms of De Rham algebra, choose a triangulation of space-time, and replace differential forms by cochains (that form…
math-ph2024
Maurer-Cartan methods in perturbative quantum mechanics
Andrey Losev, Tim Sulimov
We reformulate the time-independent Schrödinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so tha…