Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Stipsicz, Andras I."'
For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct
Externí odkaz:
http://arxiv.org/abs/2406.09007
We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.
Comment: 18 pages, 3 figures. Mistake in the construction from previou
Comment: 18 pages, 3 figures. Mistake in the construction from previou
Externí odkaz:
http://arxiv.org/abs/2312.03617
Autor:
Stipsicz, András I., Szabó, Zoltán
In this paper we study smooth structures on closed oriented 4-manifolds with fundamental group Z_2 and definite intersection form. We construct infinitely many irreducible, smooth, oriented, closed, definite four-manifolds with fundamental group Z_2
Externí odkaz:
http://arxiv.org/abs/2310.16156
Autor:
Stipsicz, Andras I., Szabo, Zoltan
Inspired by a recent result of Levine-Lidman-Piccirillo, we construct infinitely many exotic smooth structures on some closed four-manifolds with definite intersection form and fundamental group isomorphic to $\Z /2\Z$. Similar constructions provide
Externí odkaz:
http://arxiv.org/abs/2308.08388
Autor:
Stipsicz, András I., Szabó, Zoltán
We study the minimal genus problem for some smooth four-manifolds.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2307.04202
In this brief note, we investigate the $\mathbb{CP}^2$-genus of knots, i.e. the least genus of a smooth, compact, orientable surface in $\mathbb{CP}^2\setminus \mathring{B^4}$ bounded by a knot in $S^3$. We show that this quantity is unbounded, unlik
Externí odkaz:
http://arxiv.org/abs/2210.12486
Autor:
Stipsicz, András I., Szabó, Zoltán
Using elliptic fibrations with specific singular fibers, we find spheres with very negative self-intersections in elliptic surfaces and in their blow-ups.
Comment: 7 pages, 1 figure
Comment: 7 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2108.13632
Autor:
Cavallo, Alberto, Stipsicz, Andras I.
We study the set $\widehat{\mathcal S}_M$ of framed smoothly slice links which lie on the boundary of the complement of a 1-handlebody in a closed, simply connected, smooth 4-manifold $M$. We show that $\widehat{\mathcal S}_M$ is well-defined and des
Externí odkaz:
http://arxiv.org/abs/2108.07621
Autor:
Stipsicz, Andras I., Szabo, Zoltan
Publikováno v:
Open Book Series 5 (2022) 299-308
We introduce a numerical invariant \beta(K) of a knot K which measures how non-alternating K is. We prove an inequality between \beta (K) and the (knot Floer) thickness of K. As an application we show that all Montesinos knots have thickness at most
Externí odkaz:
http://arxiv.org/abs/2010.04967
Autor:
Stipsicz, András I., Szabó, Zoltán
Publikováno v:
Pacific J. Math. 313 (2021) 195-211
We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e. Dehn surgeries with different slopes along a pretzel knot provide different oriented three-manifolds.
Comment: 14 pages, 5 figures
Comment: 14 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2006.06765