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Berezin integration on general fermionic supermanifolds

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Publication:1081909
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DOI10.1007/BF01211758zbMath0602.58010MaRDI QIDQ1081909

Jeffrey M. Rabin

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

universal covering space\(G^{\infty }\) cohomologyBerezin integrationfermionic supermanifold


Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Supermanifolds and graded manifolds (58A50)


Related Items (4)

Supermanifold cohomology and the Wess-Zumino term of the covariant superstring action ⋮ Biconformal supergravity and the AdS/CFT conjecture ⋮ Variational calculus on supermanifolds and invariance properties of superspace field theories ⋮ G H ∞ supermanifolds



Cites Work

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  • Polynomial forms on affine manifolds
  • Global properties of supermanifolds
  • The Berezin integral as a contour integral
  • On the polynomial cohomology of affine manifolds
  • Generalized supermanifolds. I. Superspaces and linear operators
  • The Theory of G ∞ -Supermanifolds
  • Consistent superspace integration
  • On the existence of global integral forms on supermanifolds
  • A global theory of supermanifolds


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