4 citations · 9 across the 3 of their papers we have counts for
5 papers
K-theory and elliptic operators
Gregory D. Landweber
This expository paper is an introductory text on topological K-theory and the Atiyah-Singer index theorem, suitable for graduate students or advanced undegraduates already possessi…
Singular instantons with SO(3) symmetry
Gregory D. Landweber
This article provides an explicit construction for a family of singular instantons on S^4 S^2 with arbitrary real holonomy parameter α. This family includes the original α= 1/4, c_…
Surjectivity for Hamiltonian G-spaces in K-theory
Megumi Harada, Gregory D. Landweber
Let G be a compact connected Lie group, and (M,ω) a Hamiltonian G-space with proper moment map μ. We give a surjectivity result which expresses the K-theory of the symplectic quoti…
Harmonic spinors on homogeneous spaces
Gregory D. Landweber
Let G be a compact, semi-simple Lie group and H a maximal rank reductive subgroup. The irreducible representations of G can be constructed as spaces of harmonic spinors with respec…
Multiplets of representations and Kostant's Dirac operator for equal rank loop groups
Gregory D. Landweber
Let g be a semi-simple Lie algebra and let h be a reductive subalgebra of maximal rank in g. Given any irreducible representation of g, consider its tensor product with the spin re…