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Do absolutely irreducible group actions have odd dimensional fixed point spaces?
odd dimensional fixed point
2010/11/23
In his volume [5] on "Symmetry Breaking for Compact Lie Groups" Mike Field quotes a private communication by Jorge Ize claiming that any bifurcation problem with absolutely irreducible group action wo...
Holomorphic families of non-equivalent embeddings and of holomorphic group actions on affine space
Holomorphic families of non-equivalent embeddings holomorphic group affine space
2010/11/19
We construct holomorphic families of proper holomorphic embeddings of $\C^k$ into $\C^n$ ($0at for any two different parameters in the family no holomorphic automorphism of $\C^n$ can ...
Virtual boundaries of Hadamard spaces with admissible actions of higher rank
Hadamard spaces math
2010/11/19
Any discrete action of a group on a locally compact Hadamard space extends to a topological action on the virtual boundary. Croke and Kleiner introduced a class of so-called admissible actions and as...
Braid group actions on derived categories of coherent sheaves
Braid group derived categories coherent sheaves
2010/10/29
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together wit...