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Surfaces with $p_g = q= 1$, $K^2 = 7$ and non-birational bicanonical mpas
Surfaces $p_g = q= 1$, $K^2 = 7$ non-birational bicanonical mpas
2011/2/24
Let S be a minimal surface of general type with pg = q = 1,K2S = 7.We prove that the degree of the bicanonical map is 1 or 2. Furthermore, if the degree is 2, we describe S by a double cover.
We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type X embedded by adjoint line bundles Lr = K + rB, where B is a base
point free, ample...
Polynomial invariants of graphs on surfaces
Graphs on surfaces ribbon graphs matroids Krushkal polynomial
2011/2/25
For a graph embedded into a surface, we relate many combinatorial parameters of the cycle matroid of the graph and the bond matroid of the dual graph with the topological parameters of the embedding. ...
Sutured Floer homology distinguishes between Seifert surfaces
Sutured Floer homology distinguishes Seifert surfaces
2011/3/1
In this note we exhibit the first example of a knot K in the three-sphere S3 with a pair of minimal genus Seifert surfaces R1 and R2 that can be distinguished using the sutured Floer homology of their...