Zobrazeno 1 - 10
of 3 193
pro vyhledávání: '"Greene, Joshua"'
Autor:
Greene, Joshua Evan, Lobb, Andrew
We show that there always exists an inscribed square in a Jordan curve given as the union of two graphs of functions of Lipschitz constant less than $1 + \sqrt{2}$. We are motivated by Tao's result that there exists such a square in the case of Lipsc
Externí odkaz:
http://arxiv.org/abs/2407.07798
Autor:
Greene, Joshua Evan, Lobb, Andrew
We construct a version of Lagrangian Floer homology whose chain complex is generated by the inscriptions of a rectangle into a real analytic Jordan curve. By using its associated spectral invariants, we establish that a rectifiable Jordan curve admit
Externí odkaz:
http://arxiv.org/abs/2404.05179
Autor:
Boninger, Joe, Greene, Joshua Evan
We prove that a special alternating knot does not decompose as a non-trivial band sum. This restricts concordances from special alternating knots, and we conjecture that special alternating knots are ribbon concordance minimal. We verify our conjectu
Externí odkaz:
http://arxiv.org/abs/2310.19648
Autor:
Greene, Joshua Evan, Liechti, Livio
We show that the signature of a positive braid link is bounded from below by a quarter of its first Betti number.
Comment: 14 pages, 1 figure
Comment: 14 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2308.02275