Elements of supergeometry

A. A. Voronov, Yu I. Manin, I. B. Penkov

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

This paper is devoted to an exposition of the structure theory of supermanifolds and bundles on them, a description of Serre duality on supermanifolds, investigation of inverse sheaves, definition of characteristic classes and proof of the Grothendieck-Riemann-Roch theorem for supermanifolds.

Original languageEnglish (US)
Pages (from-to)2069-2083
Number of pages15
JournalJournal of Soviet Mathematics
Volume51
Issue number1
DOIs
StatePublished - Aug 1990

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