27 citations · 28 across the 2 of their papers we have counts for
4 papers
Partial fiber sum decompositions and signatures of Lefschetz fibrations
Adalet Çengel, Çağrı Karakurt
In his Ph.D. thesis, Burak Ozbagci described an algorithm computing signatures of Lefschetz fibrations where the input is a factorization of the monodromy into a product of Dehn tw…
Heegaard Floer homology and splicing homology spheres
Cagri Karakurt, Tye Lidman, Eamonn Tweedy
We prove a basic inequality for the d-invariants of a splice of knots in homology spheres. As a result, we are able to prove a new relation on the rank of reduced Floer homology un…
Contact Structures on AR-singularity links
Cagri Karakurt, Ferit Ozturk
An isolated complex surface singularity induces a canonical contact structure on its link. In this paper, we initiate the study of the existence problem of Stein cobordisms between…
Every 4-Manifold is BLF
Selman Akbulut, Cagri Karakurt
Here we show that every compact smooth 4-manifold X has a structure of a Broken Lefschetz Fibration (BLF in short). Furthermore, if b_{2}^{+}(X)> 0 then it also has a Broken Lefsch…