Hodge Diamonds and Adjoint Orbits

2013/11/06 by Brian Callander, Callander, Brian, Elizabeth Gasparim +1 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1311.1265

Abstract

We present a Macaulay2 package that produces compactifications of adjoint orbits and of the fibres of symplectic Lefschetz fibrations on them. We use Macaulay2 functions to calculate the corresponding Hodge diamonds, which then reveal topological information about the Lefschetz fibrations.

Cited by

• Symplectic Lefschetz Fibrations from a Lie-theoretical Viewpoint

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