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Stability of fixed points of Dirac structures.
Stability of fixed points of Dirac structures.
- 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