Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Karakurt, Çağrı"'
Autor:
Karakurt, Çağrı, Şavk, Oğuz
Publikováno v:
Acta Math. Hungar. 168 (2022), no.2, 454-489. MR4527512
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 graphs. Using Floer theoretic invariants of Dai, Hom, Stoffregen, and Tru
Externí odkaz:
http://arxiv.org/abs/2204.06597
We describe the Stein handlebody diagrams of Milnor fibers of Brieskorn singularities $x^p + y^q + z^r = 0$. We also study the natural symplectic operation by exchanging two Stein fillings of the canonical contact structure on the links in the case $
Externí odkaz:
http://arxiv.org/abs/2006.03663
Autor:
Karakurt, Cagri, Savk, Oguz
Publikováno v:
J. Knot Theory Ramifications 29 (2020), no. 5, 2050029, 17 pp. MR4118004
We describe an effective method for simultaneously computing of $d$-invariants of infinite families of Brieskorn spheres $\Sigma(p,q,r)$ with $pq+pr-qr=1$.
Comment: 13 pages, 6 figures; minor revisions and extra figure
Comment: 13 pages, 6 figures; minor revisions and extra figure
Externí odkaz:
http://arxiv.org/abs/1911.01688
Autor:
Çengel, Adalet, Karakurt, Çağrı
Publikováno v:
Topology and its Applications 270 (2020) 106937
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 twists. In this note, we give a reformulation of Ozbagci's algorithm whi
Externí odkaz:
http://arxiv.org/abs/1907.11507
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 under maps between Seifert fibered homology spheres, improving results o
Externí odkaz:
http://arxiv.org/abs/1904.03777
Autor:
Karakurt, Cagri, Ozturk, Ferit
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 these contact structures depending on the properties of singularities
Externí odkaz:
http://arxiv.org/abs/1702.06371
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 contact structures with distinct Ozsvath-Szabo invariants. Here we gi
Externí odkaz:
http://arxiv.org/abs/1607.07661
Autor:
Çengel, Adalet, Karakurt, Çağri
Publikováno v:
In Topology and its Applications 1 February 2020 270
Publikováno v:
Geom. Topol. 20 (2016) 2219-2251
Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We give an obstruction to a homology sphere being surgery on a knot coming
Externí odkaz:
http://arxiv.org/abs/1408.1508
Autor:
Karakurt, Cagri, Starkston, Laura
Publikováno v:
Algebr. Geom. Topol. 16 (2016) 1585-1635
We define a new 4-dimensional symplectic cut and paste operation which is analogous to Fintushel and Stern's rational blow-down. We use this operation to produce multiple constructions of symplectic smoothly exotic complex projective space blown-up e
Externí odkaz:
http://arxiv.org/abs/1402.0801