Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Moore, Allison H."'
A totally oriented Klein graph is a trivalent spatial graph in the 3-sphere with a 3-coloring of its edges and an orientation on each bicolored link. A totally oriented Klein foam is a 3-colored 2-complex in the 4-ball whose boundary is a Klein foam
Externí odkaz:
http://arxiv.org/abs/2405.15044
Autor:
Moore, Allison H., Tarasca, Nicola
We construct plumbed three-manifold invariants in the form of Laurent series twisted by root lattices. Specifically, given a triple consisting of a weakly negative definite plumbing tree, a root lattice, and a generalized $\mathrm{Spin}^c$-structure,
Externí odkaz:
http://arxiv.org/abs/2405.14972
Autor:
Lidman, Tye, Moore, Allison H.
We introduce the notion of adjacency in three-manifolds. A three-manifold $Y$ is $n$-adjacent to another three-manifold $Z$ if there exists an $n$-component link in $Y$ and surgery slopes for that link such that performing Dehn surgery along any none
Externí odkaz:
http://arxiv.org/abs/2308.06211
A theta curve is a spatial embedding of the $\theta$-graph in the three-sphere, taken up to ambient isotopy. We define the determinant of a theta curve as an integer-valued invariant arising from the first homology of its Klein cover. When a theta cu
Externí odkaz:
http://arxiv.org/abs/2211.00626
We show that if a composite $\theta$-curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial $\theta$-curve. We also prove similar results for 2-strand tangles and
Externí odkaz:
http://arxiv.org/abs/2201.08213
Publikováno v:
Math. Ann. 389 (2023) 2903-2930
We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants $\widetilde{\operatorname{Kh}}$ and $\widetilde{\operatorname{BN
Externí odkaz:
http://arxiv.org/abs/2109.14049
The Gordian graph and H(2)-Gordian graphs of knots are abstract graphs whose vertex sets represent isotopy classes of unoriented knots, and whose edge sets record whether pairs of knots are related by crossing changes or H(2)-moves, respectively. We
Externí odkaz:
http://arxiv.org/abs/2102.05243
We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex, detection results for the Whitehead link and Borromean rings, and a s
Externí odkaz:
http://arxiv.org/abs/2006.15484
Publikováno v:
Geom. Topol. 26 (2022) 2065-2102
We prove that L-space knots do not have essential Conway spheres with the technology of peculiar modules, a Floer theoretic invariant for tangles.
Comment: 25 pages, 11 color figures created with PSTricks and TikZ. v1: Comments welcome! v2: This
Comment: 25 pages, 11 color figures created with PSTricks and TikZ. v1: Comments welcome! v2: This
Externí odkaz:
http://arxiv.org/abs/2006.03521
We define a broad class of graphs that generalize the Gordian graph of knots. These knot graphs take into account unknotting operations, the concordance relation, and equivalence relations generated by knot invariants. We prove that overwhelmingly, t
Externí odkaz:
http://arxiv.org/abs/1912.03766