Uhlenbeck Spaces via Affine Lie Algebras

By Alexander Braverman, Michael Finkelberg. 2006

85 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c05244f9ba8de7946a41db8f7de8d9c5bb064b75

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Pierre Baumann
2. Peter Tingley
3. Joel Kamnitzer
4. Sabin Cautis
5. David E. V. Rose
6. Hoel Queffelec
7. Aaron D. Lauda
8. E. Witten

In Mathematical Physics

1. Pierre Baumann
2. Peter Tingley
3. Joel Kamnitzer
4. Sabin Cautis
5. David E. V. Rose
6. Hoel Queffelec
7. Aaron D. Lauda
8. E. Witten

Citations in the corpus

• Mirkovic-Vilonen cycles and polytopes (2005, background): “Let M denote the set of stable MV cycles and let M(µ) denote the set of those of coweight µ. It is well-known that there are kpf(µ) stable MV cycles of coweight µ (for example th is follows from [BFG, section 13], or from [A2]).”
• Instanton counting with a surface operator and the chain-saw quiver (2011, unknown): “Moreover, in [45, 63 ], the cohomology was studied directly before the resolution of singularities when P = B and it was shown that they are the Verma module of c”
• Affine Mirković-Vilonen polytopes (2011, methodology): “There is a natural bijection b 7→ Zb from B(−∞) onto the set of all MV cycles [11, 12, 23], and Pol(b) is simply the image of Zb by the moment map.”