27 citations · 101 across the 12 of their papers we have counts for
14 papers
Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology
Çağrı Karakurt, Oğuz Şavk
Continuing our previous work, we effectively compute connected Heegaard Floer homologies of two families of Brieskorn spheres realized as the boundaries of almost simple linear gra…
Ozsvath-Szabo -invariants of almost simple linear graphs
Cagri Karakurt, Oguz Savk
We describe an effective method for simultaneously computing of -invariants of infinite families of Brieskorn spheres with .
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…
Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks
Cagri Karakurt, Takahiro Oba, Takuya Ukida
Thanks to a result of Lisca and Matic and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spinc structures induce…