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math.GT2022
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…
math.GT2022★ 8 cited
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…
math.GT2022★ 7 cited
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…