Fixed point branes, singular loci and mirror symmetry

2019/07/10 by Ana Peón-Nieto, Ana Peón‐Nieto, Peón-Nieto, Ana
Mathematics · Physics and Astronomy · #14D21 #14H60 #32G13 #32G81 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Brane cosmology #FOS: Mathematics #Fixed point #Geometry #Mathematical analysis #Mathematics #Mirror symmetry #Physics #Point (geometry) #Pure mathematics #Singular point of a curve #Symmetry (geometry) #Theoretical physics #math.AG #msc:14D21 #msc:14H60 #msc:32G13 #msc:32G81

paper · pdf · doi:10.48550/arxiv.1907.04903

3 pages

arxiv created 2019/07/10 · openalex publication_date 2019/07/10 · arxiv updated 2019/07/12 · openalex created_date 2019/07/23 · openalex updated_date 2026/07/28

Abstract

This is the extended abstract of the talk given at the workshop "Geometry and physics of Higgs bundles", held at the Mathematisches Forschungsinstitut Oberwolfach in May 2019.

Citations

• The Self-Duality Equations on a Riemann Surface
• Mirror symmetry, Langlands duality, and the Hitchin system
• Electric-magnetic duality and the geometric Langlands program
• Construction of the Poincare sheaf for higher genus curves

Related

• Mirror symmetry with branes by equivariant Verlinde formulae
• World-sheet aspects of mirror symmetry
• D-Branes And Mirror Symmetry
• Advanced topics in gauge theory: mathematics and physics of Higgs bundles
• M-brane singularity formation