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Existence of approximate Hermitian-Einstein structures on semi-stable bundles
Existence of approximate Hermitian-Einstein semi-stable bundles
2011/1/19
The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle E over a compact K¨ahler manifold X. It is shown that, if E is semistable,then Donaldson’s functional is bo...
Localisation and Completion with an addendum on the use of Brown-Peterson homology in stable homotopy
Localisation Completion addendum
2011/2/25
In spring 1973 Frank Adams gave a course at the University of Chicago on localisation and completion. This was in the very early days of the subject,which arose from disparate constructions of Quillen...
Degenerating the Jacobian: the Néron Model versus Stable Sheaves
N´ eron model stable sheaf compactified Jacobians relative Picard functor
2011/1/21
We provide sufficient conditions for the line bundle locus in a family of compact moduli spaces of pure sheaves to be isomorphic to the N´eron model. The result applies to moduli spaces construc...
The Complexity of Approximately Counting Stable Roommate Assignments
Complexity of Approximately Stable Roommate Assignments
2011/3/2
We investigate the complexity of approximately counting stable room-mate assignments in two models: (i) the k-attribute model, in which the preference lists are determined by dot products of “preferen...
The Period-Index Problem for the Stack of Regularly Stable Sp(2n)-Bundles over a Curve
Period-Index Problem Stack of Regularly Stable Sp(2n)-Bundles
2010/12/9
Let Sp2n be the symplectic group over k, an algebraically closed field of characteristic 0; and let X denote a smooth, projective, connected curve over k of genus g 2. There is a stack Bunrs Sp2n of...
Simple-minded systems in stable module categories are defined by orthogonality and generating properties so that the images of the simple modules under a stable equivalence form such a system. Simple-...
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
Stable unstable regimes higher-dimensional cylindrical shape
2010/12/15
We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bounded by cylinders c...
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2
sheaves moduli spaces
2010/12/2
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on P2 and its blow-up ~P2. Wall-crossing is used to obtain the Betti numbers on ~P2....