Department of Mathematics
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Count of genus zero J-holomorphic curves in dimensions four and six
Beyaz, Ahmet (2021-07-01)
An application of Gromov-Witten invariants is that they distinguish the deformation types of symplectic structures on a smooth manifold. In this manuscript, it is proven that the use of Gromov-Witten invariants in the clas...
From automorphisms of Riemann surfaces to smooth 4-manifolds
Beyaz, Ahmet; Naylor, Patrick; ONARAN, SİNEM; Park, B. Doug (2020-01-01)
Starting from a suitable set of self-diffeomorphisms of a closed Riemann surface, we present a general branched covering method to construct surface bundles over surfaces with positive signature. Armed with this method, we...
Lif çarpımı ve simplektik manifoldlar
Beyaz, Ahmet (null; 2015-06-11)
Beyaz, Ahmet (2012-10-01)
In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.
A new construction of 6-manifolds
Beyaz, Ahmet (American Mathematical Society (AMS), 2008-01-01)
This paper provides a topological method to construct all simply-connected, spin, smooth 6-manifolds with torsion-free homology using simply-connected, smooth 4-manifolds as building blocks. We explicitly determine the inv...
Dilute solid-liquid upward flows through a vertical annulus in a closed loop system
Ozbelge, TA; Beyaz, Ahmet (2001-04-01)
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