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Signatures of surface bundles and Milnor Wood inequalities
Signatures of surface bundles Milnor Wood inequalities Geometric Topology
2012/6/14
Let E be a surface bundle over a surface. We use a variant of the Milnor Wood inequality to show that $|3\sigma(E)|\leq \chi(E)$.
Multiscale flat norm signatures for shapes and images
Multiscale flat norm signatures shapes and images
2010/9/21
In this paper we begin to explore the application of the multiscale flat norm introduced in Morgan and Vixie [13] to shape and image analysis. In particular, we look at the use of the multiscale flat ...
Twisted acyclicity of a circle and link signatures
Twisted acyclicity of a circle link signatures
2010/11/30
Homology of the circle with non-trivial local coefficients is trivial.From this well-known fact we deduce geometric corollaries concerning links of codimension two. In particular, the Murasugi-Tristra...
Holographic Algorithms With Unsymmetric Signatures
Holographic Algorithms Unsymmetric Signatures
2012/11/30
Holographic algorithms were introduced by Valiant as a new methodology to derive polynomial time algorithms. Here information
and computation are represented by exponential sums using the so-called s...
Holographic Algorithms With Unsymmetric Signatures
Holographic Algorithms Unsymmetric Signatures
2012/11/30
Holographic algorithms were introduced by Valiant as a new methodology to derive polynomial time algorithms. Here information and computation are represented by exponential sums using the so-called si...
We give a classification of block-wise symmetric signatures in the theory of matchgate computations. The main proof technique is matchgate identities, a.k.a. useful Grassmann-Pl¨ucker identities.
In holographic algorithms, symmetric signatures have been particularly useful.We give a complete characterization of these symmetric signatures over all bases of size 1. These improve previous results...