Browsing 2013 by MSC "57"
Now showing items 1-4 of 4
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Legendrian rational unknots in lens spaces
[OWP-2013-06] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)We classify Legendrian rational unknots with tight complements in the lens spaces $L(p,1)$ up to coarse equivalence. As an example of the general case, this classification is also worked out for $L(5, 2)$. The knots are ... -
Mesh Ratios for Best-Packing and Limits of Minimal Energy Configurations
[OWP-2013-13] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)For $N$-point best-packing configurations $\omega_N$ on a compact metric space $(A, \rho)$, we obtain estimates for the mesh-separation ratio $\gamma(\rho_N , A)$, which is the quotient of the covering radius of $\omega_N$ ... -
On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces
[OWP-2013-18] (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)Let $\Sigma_g$ be a closed hyperbolic surface of genus $g$ and let Ham($\Sigma_ g$) be the group of Hamiltonian diffeomorphisms of $\Sigma_g$. The most natural word metric on this group is the autonomous metric. It has ... -
On the geometry of regular maps from a quasi-projective surface to a curve
[OWP-2013-03] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)We explore consequences of the triviality of the monodromy group, using the condition of purity of the mixed Hodge structure on the cohomology of the surface X.