Advertisement

A Graded Case

  • Jean-Louis KoszulEmail author
  • Yi Ming Zou
Chapter

Abstract

In this section, we generalize the concept of symplectic structures to supermanifolds (see Refs. Kostant, Graded manifolds, graded Lie theory and prequantization, Springer, Berlin, 1977, [18], Leites, Usp Math Nauk 35:3–57, 1980, [19]). We first give the definition of supermanifolds, or according to B. Kostant (see Ref. Kostant, Graded manifolds, graded Lie theory and prequantization, Springer, Berlin, 1977, [18]), graded manifolds.

Copyright information

© Springer Nature Singapore Pte Ltd. and Science Press 2019

Authors and Affiliations

  1. 1.Institut FourierUniversité Grenoble AlpesGières, GrenobleFrance
  2. 2.Department of Mathematical SciencesUniversity of Wisconsin-MilwaukeeMilwaukeeUSA

Personalised recommendations