Publicações

@article{nokey,

title = {Brane involutions on irreducible holomorphic symplectic manifolds},

author = {Emilio Franco and Marcos Jardim and Gr\'{e}goire Menet},

url = {https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-59/issue-1/Brane-involutions-on-irreducible-holomorphic-symplectic-manifolds/10.1215/21562261-2018-0009.short},

doi = {10.1215/21562261-2018-0009},

year  = {2019},

date = {2019-04-01},

journal = {Kyoto J. Math.},

volume = {59},

issue = {1},

pages = {195 - 235},

abstract = {In the context of irreducible holomorphic symplectic manifolds, we say that (anti)holomorphic (anti)symplectic involutions are brane involutions since their fixed point locus is a brane in the physicists’ language, that is, a submanifold which is either a complex or Lagrangian submanifold with respect to each of the three K\"{a}hler structures of the associated hyper-K\"{a}hler structure. Starting from a brane involution on a 

K3

 or Abelian surface, one can construct a natural brane involution on its moduli space of sheaves. We study these natural involutions and their relation with the Fourier\textendashMukai transform. Later, we recall the lattice-theoretical approach to mirror symmetry. We provide two ways of obtaining a brane involution on the mirror, and we study the behavior of the brane involutions under both mirror transformations, giving examples in the case of a 

K3

 surface and 

K3

[

2

]

-type manifolds.},

keywords = {mirror symmetry},

pubstate = {published},

tppubtype = {article}

}