478 citations · 2.5k across the 62 of their papers we have counts for
10 papers · 1 filter
Legendrian knots, transverse knots and combinatorial Floer homology
Peter Ozsvath, Zoltan Szabo, Dylan Thurston
Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots in the three-sphere, which takes values in link Floer homology. This invariant…
Rational blow-downs and smoothings of surface singularities
Andras I. Stipsicz, Zoltan Szabo, Jonathan Wahl
In this paper we give a necessary combinatorial condition for a negative--definite plumbing tree to be suitable for rational blow--down, or to be the graph of a complex surface sin…
On combinatorial link Floer homology
Ciprian Manolescu, Peter Ozsvath, Zoltan Szabo +1
Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial descripti…
De Broglie geometry eliminating the infinities of QED; An exact derivation of the Lamb shift formula in the normal case
Zoltan Imre Szabo
This paper evolves a new non-perturbative theory by which the problem of infinities appearing in quantum physics can be handled. Its most important application is an exact derivati…
The Dehn surgery characterization of the trefoil and the figure eight knot
Peter Ozsvath, Zoltan Szabo
We give a Dehn surgery characterization of the trefoil and the figure eight knots. These results are gotten by combining surgery formulas in Heegaard Floer homology from an earlier…
Laplace spectra on open and compact Zeeman manifolds
Zoltan I. Szabo
By a recent observation, the Laplacians on the Riemannian manifolds the author used for isospectrality constructions are nothing but the Zeeman-Hamilton operators of free charged p…
Normal zones on Zeeman manifolds with trace class heat and Feynman kernels and well defined zonal Feynman integrals
Zoltan I. Szabo
The problem of infinities (divergent integrals) appearing in quantum field theory or elementary particle physics are treated by renormalization in the current theories. By this per…
Heegaard diagrams and Floer homology
Peter Ozsvath, Zoltan Szabo
We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invari…
Link Floer homology and the Thurston norm
Peter Ozsvath, Zoltan Szabo
We show that link Floer homology detects the Thurston norm of a link complement. As an application, we show that the Thurston polytope of an alternating link is dual to the Newton…
Berwald metrics constructed by Chevalley's polynomials
Z. I. Szabo
Berwald metrics are particular Finsler metrics which still have linear Berwald connections. Their complete classification is established in an earlier work, [Sz1], of this author.…