Geometry and Topology of String Junctions

Understand

We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles.

• We introduce geometric string junctions and describe some of their properties.
• We show how the structure of the geometric string junctions is naturally related to the Lie algebra structures of the associated singularities.
• One application in physics is in F-theory, where our novel approach connecting deformations and Lie algebras describes the structure of generalized type IIB seven-branes and string junction states which end on them.