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- W2947314894 abstract "Given a vector bundle $Ato M$ we study the geometry of the graded manifolds $T^*[k]A[1]$, including their canonical symplectic structures, compatible Q-structures and Lagrangian Q-submanifolds. We relate these graded objects to classical structures, such as higher Courant algebroids on $Aoplusbigwedge^{k-1}A^*$ and higher Dirac structures therein, semi-direct products of Lie algebroid structures on $A$ with their coadjoint representations up to homotopy, and branes on certain AKSZ $sigma$-models." @default.
- W2947314894 created "2019-06-07" @default.
- W2947314894 creator A5041438984 @default.
- W2947314894 date "2019-05-30" @default.
- W2947314894 modified "2023-09-27" @default.
- W2947314894 title "The geometry of graded cotangent bundles" @default.
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