Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Adam, Šimon"'
In this article, we give new means of constructing and distinguishing closed exotic four-manifolds. Using Heegaard Floer homology, we define new closed four-manifold invariants that are distinct from the Seiberg--Witten and Bauer--Furuta invariants a
Externí odkaz:
http://arxiv.org/abs/2307.08130
Autor:
Levine, Adam Simon
Kawauchi proved that every strongly negative amphichiral knot $K \subset S^3$ bounds a smoothly embedded disk in some rational homology ball $V_K$, whose construction a priori depends on $K$. We show that $V_K$ is independent of $K$ up to diffeomorph
Externí odkaz:
http://arxiv.org/abs/2212.12951
Autor:
Němcová, Monika1, Adam, Šimon1, Bednaříková, Šárka1, Piaček, Vladimír1, Pikula, Jiří1 pikulaj@vfu.cz
Publikováno v:
Acta Veterinaria Brno. 2024, Vol. 93 Issue 3, p331-337. 7p.
In this paper, we study the (in)sensitivity of the Khovanov functor to four-dimensional linking of surfaces. We prove that if $L$ and $L'$ are split links, and $C$ is a cobordism between $L$ and $L'$ that is the union of disjoint (but possibly linked
Externí odkaz:
http://arxiv.org/abs/2009.03406
Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over $\mathbb{Q}$) detects the figure-eight knot.
Externí odkaz:
http://arxiv.org/abs/2007.01269
Autor:
Levine, Adam Simon, Zemke, Ian
Publikováno v:
Bulletin of the London Mathematical Society 51 (2019), no. 6, 1099-1103
We show that a ribbon concordance between two links induces an injective map on Khovanov homology.
Comment: Published version; errors corrected from previous version. 5 pages, 1 figure
Comment: Published version; errors corrected from previous version. 5 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1903.01546
Autor:
Hedden, Matthew, Levine, Adam Simon
Let $K$ be a rationally null-homologous knot in a $3$-manifold $Y$, equipped with a nonzero framing $\lambda$, and let $Y_\lambda(K)$ denote the result of $\lambda$-framed surgery on $Y$. Ozsv\'ath and Szab\'o gave a formula for the Heegaard Floer ho
Externí odkaz:
http://arxiv.org/abs/1901.02488
Autor:
Chatterley, Adam Simon, Karamatskos, Evangelos Thomas, Schouder, Constant, Christiansen, Lars, Jørgesen, Anders, Mullins, Terence, Küpper, Jochen, Stapelfeldt, Henrik
Publikováno v:
J. Chem. Phys. 148 (2018) 221105
A new technique for obtaining switched wave packets using spectrally truncated chirped laser pulses is demonstrated experimentally and numerically by one-dimensional alignment of both linear and asymmetric top molecules. Using a simple long-pass tran
Externí odkaz:
http://arxiv.org/abs/1803.03953
Autor:
Levine, Adam Simon, Lidman, Tye
We construct infinitely many smooth 4-manifolds which are homotopy equivalent to $S^2$ but do not admit a spine, i.e., a piecewise-linear embedding of $S^2$ which realizes the homotopy equivalence. This is the remaining case in the existence problem
Externí odkaz:
http://arxiv.org/abs/1803.01765
Let $\widehat{\mathcal{C}}_{\mathbb{Z}}$ denote the group of knots in homology spheres that bound homology balls, modulo smooth concordance in homology cobordisms. Answering a question of Matsumoto, the second author previously showed that the natura
Externí odkaz:
http://arxiv.org/abs/1801.07770