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Nash Problem for quotient surface singularities
Nash Problem quotient surface singularities
2010/11/22
We give an affirmative answer to Nash Problem for quotient surface singularities, in particular for the icosahedral singularity $E_8$.
An analogue of Brylinski’s knot beta function is defined for a submanifold of d-dimensional Euclidean space. This is a meromorphic function on the complex plane.The first few residues are computed for...
The Unknotting Problem and Normal Surface Q-Theory
The Unknotting Problem Normal Surface Q-Theory
2010/12/1
Tollefson described a variant of normal surface theory for 3-manifolds, called Q-theory, where only the quadrilateral coordinates are used.Suppose M is a triangulated, compact, irreducible, boundary-i...
A sharp bound on fixed points of surface symplectomorphisms in each mapping class
sharp bound fixed points of surface symplectomorphisms
2010/11/29
Given a closed, oriented surface , possibly with boundary, and a mapping class, we obtain sharp lower bounds on the number of xed points of a surface symplectomorphism (i.e. area-preserving map) in ...
Consider the self-intersection number [S].[S] of a 2-dimensional sphere S embedded into a K3 surface. Since a K3 surface is spin, [S].[S] is even and by Gauge theoretical arguments [S].[S]\le 0. No ot...