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pro vyhledávání: '"ALLEN, SAMANTHA"'
We present knot primality tests that are built from knot Floer homology. The most basic of these is a simply stated and elementary consequence of Heegaard Floer theory: if the two-variable knot Floer polynomial of a knot K is irreducible, then K is p
Externí odkaz:
http://arxiv.org/abs/2311.11089
Publikováno v:
Pacific J. Math. 330 (2024) 25-41
The untwisting number of a knot K is the minimum number of null-homologous twists required to convert K to the unknot. Such a twist can be viewed as a generalization of a crossing change, since a classical crossing change can be effected by a null-ho
Externí odkaz:
http://arxiv.org/abs/2211.04621
Autor:
Allen, Samantha, Livingston, Charles
Heegaard Floer theory produces chain complexes associated to knots. Viewed as modules over polynomial rings, such complexes yield torsion invariants that offer constraints on cobordisms between knots. For instance, Juhasz, Miller and Zemke used torsi
Externí odkaz:
http://arxiv.org/abs/2208.04768
Autor:
Verastegui, Manuela R., Bustos, Javier A., Zimic, Mirko, Gonzales, Isidro, Saavedra, Herbert, Sanchez, Sofia S., Martinez, Manuel, Castillo, Yesenia, Toribio, Luz, Arroyo, Gianfranco, Orrego, Miguel A., Chile, Nancy, Mayta, Holger, Pajuelo, Monica, Santivañez, Saul, Gonzalez-Gustavson, Eloy, Gomez-Puerta, Luis, Gavidia, Cesar M., Vargas-Calla, Ana, Lopez, Maria T., Nash, Theodore E., Handali, Sukwan, Noh, John, Friedland, Jon, Wardle, Melissa T., Allen, Samantha E., Gamboa, Ricardo, Vilchez, Percy, O'Neal, Seth E., Muro, Claudio, Lescano, Andrés G., Moyano, Luz M., Gonzalvez, Guillermo E., González, Armando E., Gilman, Robert H., García, Héctor H.
Publikováno v:
In The Lancet Regional Health - Americas October 2024 38
Publikováno v:
In Journal of Criminal Justice July-August 2024 93
Autor:
Mongale, Emily, Allen, Samantha, Brew, Iain, Ludlow-Rhodes, Arran, Royal, Nichola, Waldron, Julia, Alexander, Hannah, Christensen, Lee, Dorrington, Kate, Milner, Andrew, Missen, Louise, Jones, Andy, Troke, Philip J.F.
Publikováno v:
In JHEP Reports January 2024 6(1)
Autor:
Allen, Samantha, Swenberg, Jacob H.
Let $X$ be a $(2+1)$-dimensional globally hyperbolic spacetime with a Cauchy surface $\Sigma$ whose universal cover is homeomorphic to $\mathbb{R}^2$. We provide empirical evidence suggesting that the Jones polynomial detects causality in $X$. We int
Externí odkaz:
http://arxiv.org/abs/2011.09415
Autor:
Allen, Samantha
The nonorientable 4-genus is an invariant of knots which has been studied by many authors, including Gilmer and Livingston, Batson, and Ozsv\'{a}th, Stipsicz, and Szab\'{o}. Given a nonorientable surface $F \subset B^4$ with $\partial F = K\subset S^
Externí odkaz:
http://arxiv.org/abs/2007.14332
Autor:
Allen, Samantha, Livingston, Charles
Publikováno v:
L'Enseignement Mathematique 66 (2020) 541-589
Given a knot in the three-sphere, is it possible to unknot it by performing a single twist, and if so, what are the possible linking numbers of such a twist? We develop obstructions to unknotting using a twist of a specified linking number. The obstr
Externí odkaz:
http://arxiv.org/abs/2005.10717
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