2015/04/30 by Emilio Franco, Marcos Jardim, Simone Marchesi
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Brane #Brane cosmology #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Moduli space #Pure mathematics #Quiver #Submanifold #Torsion (gastropod) #math.AG #msc:14D20 #msc:14J60 #msc:81T30
paper · pdf · doi:10.1016/j.bulsci.2017.04.002
published as Bull. Sci. Math. 141 (4) (2017), 353-383
arxiv created 2016/05/10 · openalex publication_date 2017/05/10 · arxiv updated 2018/04/17 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
In the physicist's language, a brane in a hyperkahler manifold is a submanifold which is either complex or lagrangian with respect to three Kahler structures of the ambient manifold. By considering the fixed loci of certain involutions, we describe branes in Nakajima quiver varieties of all possible types. We then focus on the moduli space of framed torsion free sheaves on the projective plane, showing how the involutions considered act on sheaves, and proving the existence of branes in some cases.