Geodesic
Fibrations in semitoric and generalized complex geometry
Canadian journal of mathematics, Tome 75 (2023) no. 2, pp. 645-685

Voir la notice de l'article provenant de la source Cambridge

DOI

This paper studies a class of singular fibrations, called self-crossing boundary fibrations, which play an important role in semitoric and generalized complex geometry. These singular fibrations can be conveniently described using the language of Lie algebroids. We will show how these fibrations arise from (nonfree) torus actions, and how to use them to construct and better understand self-crossing stable generalized complex four-manifolds. We moreover show that these fibrations are compatible with taking connected sums, and use this to prove a singularity trade result between two types of singularities occurring in these types of fibrations (a so-called nodal trade).
DOI : 10.4153/S0008414X22000116
Mots-clés : Generalized complex structure, elliptic symplectic structure, Lie algebroid, boundary Lefschetz fibration, toric geometry, semi-toric systems 
Cavalcanti, Gil R.; Klaasse, Ralph L.; Witte, Aldo. Fibrations in semitoric and generalized complex geometry. Canadian journal of mathematics, Tome 75 (2023) no. 2, pp. 645-685. doi: 10.4153/S0008414X22000116
@article{10_4153_S0008414X22000116,
     author = {Cavalcanti, Gil R. and Klaasse, Ralph L. and Witte, Aldo},
     title = {Fibrations in semitoric and generalized complex geometry},
     journal = {Canadian journal of mathematics},
     pages = {645--685},
     year = {2023},
     volume = {75},
     number = {2},
     doi = {10.4153/S0008414X22000116},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000116/}
}
TY  - JOUR
AU  - Cavalcanti, Gil R.
AU  - Klaasse, Ralph L.
AU  - Witte, Aldo
TI  - Fibrations in semitoric and generalized complex geometry
JO  - Canadian journal of mathematics
PY  - 2023
SP  - 645
EP  - 685
VL  - 75
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000116/
DO  - 10.4153/S0008414X22000116
ID  - 10_4153_S0008414X22000116
ER  - 
%0 Journal Article
%A Cavalcanti, Gil R.
%A Klaasse, Ralph L.
%A Witte, Aldo
%T Fibrations in semitoric and generalized complex geometry
%J Canadian journal of mathematics
%D 2023
%P 645-685
%V 75
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000116/
%R 10.4153/S0008414X22000116
%F 10_4153_S0008414X22000116

Cité par Sources :