Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Schwartz, Hannah"'
Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. This includes all 2-spheres which are unions of ribbon discs, one of whi
Externí odkaz:
http://arxiv.org/abs/2307.06388
Autor:
Schwartz, Hannah
We give a 4-dimensional light bulb theorem for properly embedded disks, generalizing recent work of Gabai and Kosanovic-Teichner in certain contexts, and extending the 4-dimensional light bulb theorem for 2-spheres due to Gabai and Schneiderman-Teich
Externí odkaz:
http://arxiv.org/abs/2109.13397
Autor:
Schwartz, Hannah R.
In this short note, for each non-zero integer n, we construct a 4-manifold containing a smoothly concordant pair of spheres with a common dual of square n but no automorphism carrying one sphere to the other. Our examples, besides showing that the sq
Externí odkaz:
http://arxiv.org/abs/2012.05939
Autor:
Naylor, Patrick, Schwartz, Hannah
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 973-990
We show that the smooth homotopy 4-sphere obtained by Gluck twisting the m-twist n-roll spin of any unknotting number one knot is diffeomorphic to the standard 4-sphere, for any pair of integers (m,n). It follows as a corollary that an infinite colle
Externí odkaz:
http://arxiv.org/abs/2009.05703
Publikováno v:
Journal of Topology, 14.4 (2021) 1321-1350
We compare two naturally arising notions of unknotting number for 2-spheres in the 4-sphere: namely, the minimal number of 1-handle stabilizations needed to obtain an unknotted surface, and the minimal number of Whitney moves required in a regular ho
Externí odkaz:
http://arxiv.org/abs/2007.13244
Autor:
McCusker, Jane, Lambert, Sylvie, Yaffe, Mark, Schwartz, Hannah, Haggerty, Jeannie, Belzile, Eric, Pelland, Marie-Eve, Minotti, Simona C., de Raad, Manon
Publikováno v:
In General Hospital Psychiatry November-December 2023 85:63-70
Autor:
Melvin, Paul, Schwartz, Hannah
It is shown that any finite list of smooth closed simply-connected 4-manifolds homeomorphic to a given one X can be obtained by removing a single compact contractible submanifold (or cork) from X, and then regluing it by powers of a boundary diffeomo
Externí odkaz:
http://arxiv.org/abs/1902.02840
Autor:
Schwartz, Hannah, McCusker, Jane, Da Costa, Deborah, Singh, Santokh, Baskaran, Sandhya, Belzile, Eric, Van Roost, Kaya
Publikováno v:
In Internet Interventions March 2023 31
Autor:
Schwartz, Hannah R.
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 3313-3327
We show that the number of double points of smoothly immersed 2-spheres representing certain homology classes of an oriented, smooth, closed, simply-connected 4-manifold X must increase with the complexity of corresponding h-cobordisms from X to X. A
Externí odkaz:
http://arxiv.org/abs/1811.02753
Autor:
Schwartz, Hannah R.
We construct infinitely many smooth oriented 4-manifolds containing pairs of homotopic, smoothly embedded 2-spheres that are not topologically isotopic, but that are equivalent by an ambient diffeomorphism inducing the identity on homology. These exa
Externí odkaz:
http://arxiv.org/abs/1806.07541