On characteristic classes of Q-manifolds

Mathematics – Quantum Algebra

Scientific paper

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5 pages, v2 a reference corrected

Scientific paper

We define the notion of characteristic classes for supermanifolds endowed
with a homological vector field $Q$. These take values in the cohomology of the
Lie derivative operator $L_Q$ acting on arbitrary tensor fields. We formulate a
classification theorem for intrinsic characteristic classes and give their
explicit description.

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