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Stability of fixed points of Dirac structures.

Stability of fixed points of Dirac structures.

Authors :
Singh, Karandeep J.
Zambon, Marco
Source :
Letters in Mathematical Physics. Aug2023, Vol. 113 Issue 4, p1-27. 27p.
Publication Year :
2023

Abstract

Given an L ∞ -algebra V and an L ∞ -subalgebra W, we give sufficient conditions for all small Maurer–Cartan elements of V to be equivalent to Maurer–Cartan elements lying in W. As an application, we obtain a stability criterion for fixed points of a Dirac structure in an arbitrary Courant algebroid of split signature (for instance a twisted Poisson structure), i.e., points where the corresponding leaf is zero-dimensional. The criterion guarantees that any nearby Dirac structure also has a fixed point. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03779017
Volume :
113
Issue :
4
Database :
Academic Search Index
Journal :
Letters in Mathematical Physics
Publication Type :
Academic Journal
Accession number :
167346180
Full Text :
https://doi.org/10.1007/s11005-023-01703-w