172 citations
- Perimeter InstituteCA12 papers
- Massachusetts Institute of TechnologyUS4 papers
- California Institute of TechnologyUS3 papers
- Georgetown UniversityUS3 papers
- Imperial College LondonGB3 papers
- McMaster UniversityCA3 papers
- National Academy of Sciences of UkraineUA3 papers
- Stanford UniversityUS3 papers
- University of GuelphCA3 papers
- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA3 papers
- Centrum Wiskunde & InformaticaNL2 papers
- College of Western IdahoUS2 papers
5 papers · 1 filter
Symplectic tori in rational elliptic surfaces
Tolga Etgü, B. Doug Park
Let E(1)_p denote the rational elliptic surface with a single multiple fiber f_p of multiplicity p. We construct an infinite family of homologous non-isotopic symplectic tori repre…
Homologous Non-isotopic Symplectic Tori in Homotopy Rational Elliptic Surfaces
Tolga Etgü, B. Doug Park
Let E(1)_K denote the closed 4-manifold that is homotopy equivalent (hence homeomorphic) to the rational elliptic surface E(1) and is obtained by performing Fintushel-Stern knot su…
Homologous non-isotopic symplectic tori in a K3-surface
Tolga Etgü, B. Doug Park
For each member of an infinite family of homology classes in the K3-surface E(2), we construct infinitely many non-isotopic symplectic tori representing this homology class. This f…
Non-isotopic Symplectic Tori in the Same Homology Class
Tolga Etgü, B. Doug Park
For any pair of integers and , we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class of an elliptic sur…
Proof of Atiyah's conjecture for two special types of configurations
Dragomir Z. Djokovic
We prove Atiyah's conjecture for two special types of configurations of N points in the three-dimensional Euclidean space. For one of these types, it is shown that the stronger con…