# 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} }

Lectures given at the summer school on Algebraic Groups, Goettingen, June 27 - July 15 2005

## 16 Citations

### INFORMAL NOTES ON HYPERKÄHLER GEOMETRY

- Mathematics
- 2012

Informal notes prepared for the CAMGSD working seminar on Symplectic/Contact Geometry/Topology.

### On 2d TQFTs whose values are holomorphic symplectic varieties

- Mathematics
- 2011

For simple and simply-connected complex algebraic group G, we conjecture the existence of a functor eta_G from the category of 2-bordisms to the category of holomorphic symplectic varieties with…

### A hyperholomorphic line bundle on certain hyperkähler manifolds not admitting an S1-symmetry

- Mathematics
- 2015

### Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group

- MathematicsAdvances in Mathematics
- 2020

### Coulomb branches for quaternionic representations

- Mathematics
- 2022

I describe the Chiral rings C 3,4 ( G ; E ) for 3D, N = 4 supersymmetric G -gauge theory and matter ﬁelds in quaternionic representations E : ﬁrst, by a topological tweak of the construction of…

### On 6d N = (2, 0) theory compactified on a Riemann surface with finite area

- MathematicsProgress of Theoretical and Experimental Physics
- 2013

We study 6d N=(2,0) theory of type SU(N) compactified on Riemann surfaces with finite area, including spheres with fewer than three punctures. The Higgs branch, whose metric is inversely proportional…

### S-duality of boundary conditions in N=4 super Yang-Mills theory

- Physics
- 2008

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the…

### M5-branes on S2 × M4: Nahm’s equations and 4d topological sigma-models

- Mathematics
- 2016

A bstractWe study the 6d N = (0, 2) superconformal field theory, which describes multiple M5-branes, on the product space S2 × M4, and suggest a correspondence between a 2d N = (0, 2) half-twisted…

### Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory

- Mathematics
- 2008

AbstractWe study boundary conditions in
${\mathcal{N}}=4$
super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some…

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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…

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

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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…