8 citations · 15 across the 4 of their papers we have counts for
6 papers
On homology planes and contractible -manifolds
Rodolfo Aguilar Aguilar, Oğuz Şavk
We call a non-trivial homology sphere a Kirby-Ramanujam sphere if it bounds both a homology plane and a Mazur or Poénaru manifold. In 1980, Kirby found the first example by proving…
A survey of the homology cobordism group
Oğuz Şavk
In this survey, we present most recent highlights from the study of the homology cobordism group, with a particular emphasis on its long-standing and rich history in the context of…
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…
Classical and new plumbed homology spheres bounding contractible manifolds and homology balls
Oguz Savk
A central problem in low-dimensional topology asks which homology -spheres bound contractible -manifolds or homology -balls. In this paper, we address this question for pl…
More Brieskorn spheres bounding rational balls
Oguz Savk
We call an integral homology sphere bounds a rational homology ball if it is obstructed from bounding an integral homology ball. After Fintushel and Stern'…
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 .