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of 82
pro vyhledávání: '"Joseph, Jason P."'
Trisections of closed 4-manifolds, first defined and studied by Gay and Kirby, have proved to be a useful tool in the systematic analysis of 4-manifolds via handlebodies. Subsequent work of Abrams, Gay, and Kirby established a connection with the alg
Externí odkaz:
http://arxiv.org/abs/2406.14530
Autor:
Jiang, Hongxu, Imran, Muhammad, Muralidharan, Preethika, Patel, Anjali, Pensa, Jake, Liang, Muxuan, Benidir, Tarik, Grajo, Joseph R., Joseph, Jason P., Terry, Russell, DiBianco, John Michael, Su, Li-Ming, Zhou, Yuyin, Brisbane, Wayne G., Shao, Wei
Publikováno v:
Computerized Medical Imaging and Graphics (2024): 102326
Micro-ultrasound (micro-US) is a novel 29-MHz ultrasound technique that provides 3-4 times higher resolution than traditional ultrasound, potentially enabling low-cost, accurate diagnosis of prostate cancer. Accurate prostate segmentation is crucial
Externí odkaz:
http://arxiv.org/abs/2305.19956
We adapt Seifert's algorithm for classical knots and links to the setting of tri-plane diagrams for bridge trisected surfaces in the 4-sphere. Our approach allows for the construction of a Seifert solid that is described by a Heegaard diagram. The Se
Externí odkaz:
http://arxiv.org/abs/2210.09669
Autor:
Imran, Muhammad, Nguyen, Brianna, Pensa, Jake, Falzarano, Sara M., Sisk, Anthony E., Liang, Muxuan, DiBianco, John Michael, Su, Li-Ming, Zhou, Yuyin, Joseph, Jason P., Brisbane, Wayne G., Shao, Wei
Publikováno v:
In Biomedical Signal Processing and Control October 2024 96 Part B
Publikováno v:
Pacific J. Math. 319 (2022) 343-369
We seek to connect ideas in the theory of bridge trisections with other well-studied facets of classical knotted surface theory. First, we show how the normal Euler number can be computed from a tri-plane diagram, and we use this to give a trisection
Externí odkaz:
http://arxiv.org/abs/2112.11557
The Meridional Rank Conjecture asks whether the bridge number of a knot in $S^3$ is equal to the minimal number of meridians needed to generate the fundamental group of its complement. In this paper we investigate the analogous conjecture for knotted
Externí odkaz:
http://arxiv.org/abs/2111.09233
Autor:
Jiang, Hongxu, Imran, Muhammad, Muralidharan, Preethika, Patel, Anjali, Pensa, Jake, Liang, Muxuan, Benidir, Tarik, Grajo, Joseph R., Joseph, Jason P., Terry, Russell, DiBianco, John Michael, Su, Li-Ming, Zhou, Yuyin, Brisbane, Wayne G., Shao, Wei
Publikováno v:
In Computerized Medical Imaging and Graphics March 2024 112
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:
Joseph, Jason
In this paper we provide a new obstruction to 0-concordance of knotted surfaces in $S^4$ in terms of Alexander ideals. We use this to prove the existence of infinitely many linearly independent 0-concordance classes and to provide the first proof tha
Externí odkaz:
http://arxiv.org/abs/1911.13112
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