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   Introduction to supergeometry; Schatz, Florian  in Reviews in Mathematical Physics (2012), 23(6), 669-690 These notes are based on a series of lectures given by the first author at the school of `Poisson 2010', held at IMPA, Rio de Janeiro. They contain an exposition of the theory of super- and graded ... [more ▼] These notes are based on a series of lectures given by the first author at the school of `Poisson 2010', held at IMPA, Rio de Janeiro. They contain an exposition of the theory of super- and graded manifolds, cohomological vector fields, graded symplectic structures, reduction and the AKSZ-formalism. [less ▲] Detailed reference viewed: 103 (1 UL)Equivalences of Higher Derived Brackets; Schatz, Florian in Journal of Pure and Applied Algebra (2008), 212(11), 2450-2460 This note elaborates on Th. Voronov’s construction of L-infinity-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L ... [more ▼] This note elaborates on Th. Voronov’s construction of L-infinity-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L-infinity-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed. [less ▲] Detailed reference viewed: 111 (0 UL) |
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