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pro vyhledávání: '"Simone, Jonathan"'
Greene and Owens explore cubiquitous lattices as an obstruction to rational homology 3-spheres bounding rational homology 4-balls. The purpose of this article is to better understand which sublattices of $\mathbb{Z}^n$ are cubiquitous with the aim of
Externí odkaz:
http://arxiv.org/abs/2405.00500
A link is called $\chi-$slice if it bounds a smooth properly embedded surface in the 4-ball with no closed components and Euler characteristic 1. If a link has a single component, then it is $\chi-$slice if and only if it is slice. One motivation for
Externí odkaz:
http://arxiv.org/abs/2306.01585
Autor:
Brejevs, Vitalijs, Simone, Jonathan
We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens. We discuss a practical method of computi
Externí odkaz:
http://arxiv.org/abs/2301.06573
We produce simply connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a symplectic extension of the classical works populating the complex geogra
Externí odkaz:
http://arxiv.org/abs/2201.11728
The nonorientable four-ball genus of a knot $K$ in $S^3$ is the minimal first Betti number of nonorientable surfaces in $B^4$ bounded by $K$. By amalgamating ideas from involutive knot Floer homology and unoriented knot Floer homology, we give a new
Externí odkaz:
http://arxiv.org/abs/2109.09187
Autor:
Simone, Jonathan
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 2449-2518
In this article, we completely classify torus bundles over the circle that bound 4-manifolds with the rational homology of the circle. Along the way, we classify certain integral surgeries along chain links that bound rational homology balls and expl
Externí odkaz:
http://arxiv.org/abs/2006.14986
Autor:
Simone, Jonathan
Publikováno v:
Topology and its Applications, Vol. 291 (2021)
Motivated by Akbulut-Larson's construction of Brieskorn spheres bounding rational homology 4-balls, we explore plumbed 3-manifolds that bound rational homology circles and use them to construct infinite families of rational homology 3-spheres that bo
Externí odkaz:
http://arxiv.org/abs/2006.14509
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Publikováno v:
In Progress in Neuropsychopharmacology & Biological Psychiatry 8 March 2022 113
Autor:
Simone, Jonathan
In this article, we prove a generalization of a theorem of Lisca-Matic to Stein cobordisms and develop a method for distinguishing certain Stein cobordisms using rotation numbers. Using these results along with standard techniques from convex surface
Externí odkaz:
http://arxiv.org/abs/1710.06702