The Schwarz-Voronov Embedding of ℤⁿ₂-Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bruce, Andrew James, Ibarguengoytia, Eduardo, Poncin, Norbert
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210608
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Schwarz-Voronov Embedding of ℤⁿ₂-Manifolds. Andrew James Bruce, Eduardo Ibarguengoytia and Norbert Poncin. SIGMA 16 (2020), 002, 47 pages

Informally, ℤⁿ₂-manifolds are 'manifolds' with ℤⁿ₂-graded coordinates and a sign rule determined by the standard scalar product of their ℤⁿ₂-degrees. Such manifolds can be understood in a sheaf-theoretic framework, as supermanifolds can, but with significant differences, in particular in i...