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QP-Structures of Degree 3 and 4D Topological Field Theory

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arxiv 1004.0601 v3 pith:JU7WLMMN submitted 2010-04-05 hep-th math-phmath.MPmath.SG

Noriaki Ikeda , Kyousuke Uchino This is my paper · ORCID
classification hep-thmath-phmath.MPmath.SG
keywords degreefieldqp-structuretheorytopologicalakszalgebraalgebraic
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A A BV algebra and a QP-structure of degree 3 is formulated. A QP-structure of degree 3 gives rise to Lie algebroids up to homotopy and its algebraic and geometric structure is analyzed. A new algebroid is constructed, which derives a new topological field theory in 4 dimensions by the AKSZ construction.

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  1. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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