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Madeleine Jotz Lean's research
Publications:
Dirac groupoids and Dirac bialgebroids
, to appear in "Journal of Symplectic Geometry ", 2017.
Double Lie algebroids and representations up to homotopy
, "Journal of Homotopy and Related Structures " (open access) 2017 (with Alfonso Gracia-Saz, Kirill Mackenzie and Rajan Mehta).
Homogeneous spaces of Dirac groupoids
, "Journal of Geometry and Physics" (2016), Volume 104, 89-111.
Glanon groupoids
, (with Mathieu Stiénon and Ping Xu), "Mathematische Annalen" (2016), Volume 364, Number 1, 485-518.
VB-algebroids morphisms and representations up to homotopy
(with Thiago Drummond and Cristian Ortiz), "Differential Geometry and its Applications" (2015), Volume 40, 332-357.
Foliated groupoids and infinitesimal ideal systems
, (with Cristian Ortiz), "Indagationes Mathematicae " (2014), Volume 25, Number 5, 1019-1053. Proceedings of the conference Poisson 2012.
Dirac Optimal reduction
(with Tudor Ratiu), "International Mathematics Research Notices" (2013), Number 1, 84-155.
Dirac structures, nonholonomic systems and reduction
(with Tudor Ratiu), "Reports on mathematical physics" (2012), Volume 69, Number 1, 5-56.
The leaf space of a multiplicative foliation
, "Journal of geometric mechanics", (2012), Volume 4 (special volume Ratiufest), Number 3, 313-332.
Invariant generators for generalized distributions
(with Tudor Ratiu), "Differential geometry and its applications" (2011), Volume 29, 826-837.
Invariant frames for vector bundles and applications
(with Tudor Ratiu and Marco Zambon), "Geometriae Dedicata" (2011) 1-12.
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfel'd
"Indiana University Mathematics Journal" (2011), Volume 60, Number 1, 319-366.
Induced Dirac structure on isotropy type manifolds
(with Tudor Ratiu), "Transformation groups" (2011), Volume 16, Number 1, 175-191.
Singular reduction of Dirac structures
(with Tudor Ratiu and Jedrzej Sniatycki), "Transactions of the AMS" (2011), Volume 363, 2967-3013.
Poisson reduction by distributions
(with Tudor Ratiu) "Letters in Mathematical Physics" (2009), Volume 87, numbers 1--2.
Hedlund metrics and the stable norm
"Differential geometry and its applications", Volume 27 (2009), Issue 4.
Closedness of the Tangent Spaces to the Orbits of Proper Actions
(with Karl-Hermann Neeb)
Journal of Lie Theory
, Volume 18 (2008), Number 3.
Preprints
On splittings of LA-Courant algebroids and Poisson Lie 2-algebroids .
(part 3 of N-manifolds of degree 2 and metric double vector bundles), in preparation, 2016.
Natural lifts of Dorfman brackets.
with Charlotte Kirchhoff-Lukat, 2016.
Lie 2-algebroids and matched pairs of 2-representations -- a geometric approach.
(part 2 of N-manifolds of degree 2 and metric double vector bundles), 2017.
The geometrisation of N-manifolds of degree 2.
(part 1 of N-manifolds of degree 2 and metric double vector bundles), 2015.
N-manifolds of degree 2 and metric double vector bundles
, 2015.
Dorfman connections and Courant algebroids
, 2013.
Theses:
PhD thesis:
Dirac Group(oid)s and Their Homogeneous Spaces
, EPFL, 2011. Advisor: Prof. Tudor Ratiu.
Diplomarbeit:
Hedlund Metriken und die stabile Norm
, Albert-Ludwigs-Universitaet Freiburg, 2007. Advisor: Prof. Victor Bangert.
Last modified: Mon Aug 14 10:09:09 CEST 2017