Geodesic
Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
Dominic Joyce1
1Oxford University, UK
EMS surveys in mathematical sciences, Tome 2 (2015) no. 1, pp. 1-62

Voir la notice de l'article provenant de la source EMS Press

DOI

Let (M,J,g,Ω) be a Calabi–Yau m-fold, and consider compact, graded Lagrangians L in M. Thomas and Yau conjectured that there should be a notion of 'stability' for such L, and that if L is stable then Lagrangian mean curvature flow {Lt:t∈[0,∞)} with L0=L should exist for all time, and L∞=limt→∞​Lt should be the unique special Lagrangian in the Hamiltonian isotopy class of L. This paper is an attempt to update the Thomas–Yau conjectures, and discuss related issues.
DOI : 10.4171/emss/8
Classification : 53-XX
Mots-clés : Calabi-Yau manifold, Fukaya category, Bridgeland stability condition, Lagrangian mean curvature flow

Dominic Joyce  1

1 Oxford University, UK 
Dominic Joyce. Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow. EMS surveys in mathematical sciences, Tome 2 (2015) no. 1, pp. 1-62. doi: 10.4171/emss/8
@article{10_4171_emss_8,
     author = {Dominic Joyce},
     title = {Conjectures on {Bridgeland} stability for {Fukaya} categories of {Calabi{\textendash}Yau} manifolds, special {Lagrangians,} and {Lagrangian} mean curvature flow},
     journal = {EMS surveys in mathematical sciences},
     pages = {1--62},
     year = {2015},
     volume = {2},
     number = {1},
     doi = {10.4171/emss/8},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/8/}
}
TY  - JOUR
AU  - Dominic Joyce
TI  - Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
JO  - EMS surveys in mathematical sciences
PY  - 2015
SP  - 1
EP  - 62
VL  - 2
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/emss/8/
DO  - 10.4171/emss/8
ID  - 10_4171_emss_8
ER  - 
%0 Journal Article
%A Dominic Joyce
%T Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
%J EMS surveys in mathematical sciences
%D 2015
%P 1-62
%V 2
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/emss/8/
%R 10.4171/emss/8
%F 10_4171_emss_8

Cité par Sources :