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math-ph2022
Formal exponentials and linearisations of QP-manifolds
Alex S. Arvanitakis
We define formal exponential maps for any graded manifold as maps from the formal tangent bundle (that we also define) into the graded manifold. We show that each such map uniquely…
math-ph2019
Generalising Courant algebroids to M-theory
Alex S. Arvanitakis
We introduce M-theoretic generalisations of the notion of (exact) Courant algebroid, and summarise their connections to generalised geometry, U-duality, and the physics of strings,…