• Corpus ID: 117794043

Lie groups, Nahm's equations and hyperkaehler manifolds

@article{Bielawski2005LieGN,
  title={Lie groups, Nahm's equations and hyperkaehler manifolds},
  author={Roger Bielawski},
  journal={arXiv: Differential Geometry},
  year={2005}
}
  • R. Bielawski
  • Published 22 September 2005
  • Mathematics
  • arXiv: Differential Geometry
Lectures given at the summer school on Algebraic Groups, Goettingen, June 27 - July 15 2005 

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References

SHOWING 1-10 OF 104 REFERENCES

Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group

We prove Patterson's conjecture about the singularities of the Selberg zeta function associated to a convex-cocompact, torsion free group acting on a hyperbolic space.

Algebraic Geometry

Introduction to Algebraic Geometry.By Serge Lang. Pp. xi + 260. (Addison–Wesley: Reading, Massachusetts, 1972.)

Algebraic loop groups and moduli spaces of bundles

Abstract.We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine

GENERALIZED BESSEL MODELS FOR A SYMPLECTIC GROUP OF RANK 2

In this paper we prove a uniqueness theorem for an analogue of the Bessel model of an irreducible representation of a symplectic group of rank 2 over a disconnected local field. Bibliography: 4 items.

Fuchsian groups of the second kind and representations carried by the limit set

Fuchsian groups of the second kind and representations carried by the limit set Dedicated to Rolf Sulanke on the occasion of his 65'th birthday.

Nahm's equations and the classification of monopoles

Solutions of Nahm's system of ordinary differential equations are produced by variational methods. This leads to an explicit parametrisation of the solutions to the Bogomolny equation over ℝ3.

Quasi-Equivariant D -Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups

In this note, we describe proofs of certain conjectures on functorial, geometric constructions of representations of a reductive Lie group G R . Our methods have applications beyond the conjectures

The 2-adic Eigencurve is Proper

TLDR
The question whether the Eigencurve has any "holes" is answered in the negative for the 2-adic EigenCurve of tame level one.

Cohomological Properties of the Canonical Globalizations of Harish–Chandra Modules

In this note we draw consequences of theorems of Kashiwara–Schmid, Casselman, and Schneider–Stuhler. Canonical globalizations of Harish–Chandra modules can be considered as coefficient modules for
...