• Legendrian rational unknots in lens spaces 

      [OWP-2013-06] Geiges, Hansjörg; Onaran, Sinem (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] Bondarenko, A. V.; Hardin, Douglas P.; Saff, Edward B. (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] Brandenbursky, Michael (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] Parameswaran, A. J.; Tibăr, Mihai-Marius (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.