Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895122 | Journal of Geometry and Physics | 2008 | 23 Pages |
Abstract
We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as branched covers of the 3-sphere, up to branched cover cobordisms. We consider dynamical systems obtained from associated convolution algebras endowed with time evolutions defined in terms of the underlying geometries. We describe the relevance of our construction to the problem of spectral correspondences in noncommutative geometry.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Matilde Marcolli, Ahmad Zainy al-Yasry,