Quotients in supergeometry
L. Balduzzi, C. Carmeli, R. Fioresi
TL;DR
This paper introduces a unified approach to defining quotients of supergroups across various categories using the functor of points, and explores some examples relevant to physics.
Contribution
It provides a new unified framework for supergroup quotients in different categories, enhancing understanding of their structure and applications.
Findings
Develops a unified functor of points approach for supergroup quotients
Analyzes physically interesting examples of supergroup quotients
Clarifies the categorical properties of supergroup quotients
Abstract
The purpose of this paper is to present the notion of quotient of supergroups in different categories using the unified treatment of the functor of points and to examine some physically interesting examples.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models