Reduction theory for singular symplectic manifolds and singular forms on moduli spaces

Autor: Matveeva, Anastasia ^{a, 1}, Miranda, Eva ^{b, ⁎, 2, 3}

Publikováno v: In Advances in Mathematics 1 September 2023 428

On geometric quantization of b-symplectic manifolds

Autor: Guillemin, Victor W. ^a, Miranda, Eva ^{b, c, ⁎, 1}, Weitsman, Jonathan ^{d, 2}

Publikováno v: In Advances in Mathematics 20 June 2018 331:941-951

$b$-Structures on Lie groups and Poisson reduction

Autor: Roisin Braddell, Anna Kiesenhofer, Eva Miranda

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Motivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a $b$-Lie group as a pair $(G,H)$ where $G$ is a Lie group and $H$ is a codimension-one Lie subgroup. Such

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21010b56c8756270eff7762981df3ae5
http://arxiv.org/abs/2010.04770

The geometry of E-manifolds

Autor: Eva Miranda, Geoffrey Scott

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an $E$-tangent bundle) which is particularly well-suited to study of singular differential forms and their cohomology. This setting generalizes the s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecad0e6a395d4d38fb26d1d80e21b8b1
http://arxiv.org/abs/1802.02959

On the volume elements of a manifold with transverse zeroes

Autor: Eva Miranda, Robert Cardona

Publikováno v: RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Regular and Chaotic Dynamics
Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2018
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Moser proved in 1965 in his seminal paper that two volume forms on a compact manifold can be conjugated by a diffeomorphism, that is to say they are equivalent, if and only if their associated cohomology classes in the top cohomology group of a manif

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffc841b339eab2cb99bd1db250564fa8