Zobrazeno 1 - 10
of 541
pro vyhledávání: '"C. A. Michael"'
Autor:
Wong, C. -M. Michael, Zampa, Sarah
These are the notes for a lecture series on Heegaard Floer homology, given by the first author at the R\'enyi Institute in January 2023, as part of a special semester titled ``Singularities and Low Dimensional Topology''. Familiarity with Heegaard di
Externí odkaz:
http://arxiv.org/abs/2402.07558
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
We investigate an equivalence relation on Legendrian knots in the standard contact three-space defined by the existence of an interpolating zigzag of Lagrangian cobordisms. We compare this relation, restricted to genus-$0$ surfaces, to smooth concord
Externí odkaz:
http://arxiv.org/abs/2308.02057
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable Lagrangian cobordisms in the symplectization of the standard contact s
Externí odkaz:
http://arxiv.org/abs/2303.16130
Publikováno v:
Annales Geophysicae, Vol 42, Pp 349-354 (2024)
We have studied the ionospheric upwelling with a magnitude of above 1013 m−2 s−1 using the data during the European Incoherent Scatter Scientific Association (EISCAT) Svalbard Radar International Polar Year (IPY-ESR) 2007 campaign, which coincide
Externí odkaz:
https://doaj.org/article/604d29f8836c4f4abfc0615043eca050
Publikováno v:
In Computers & Industrial Engineering August 2024 194
Lagrangian cobordism induces a preorder on the set of Legendrian links in any contact 3-manifold. We show that any finite collection of null-homologous Legendrian links in a tight contact 3-manifold with a common rotation number has an upper bound wi
Externí odkaz:
http://arxiv.org/abs/2105.02390
We unify two existing approaches to the tau invariants in instanton and monopole Floer theories, by identifying $\tau_{\mathrm{G}}$, defined by the second author via the minus flavors $\underline{\operatorname{KHI}}^-$ and $\underline{\operatorname{K
Externí odkaz:
http://arxiv.org/abs/1910.01758
We prove that the LOSS and GRID invariants of Legendrian links in knot Floer homology behave in certain functorial ways with respect to decomposable Lagrangian cobordisms in the symplectization of the standard contact structure on $\mathbb{R}^3$. Our
Externí odkaz:
http://arxiv.org/abs/1907.09654
We study 4-dimensional homology cobordisms without 3-handles, showing that they interact nicely with Thurston geometries, character varieties, and instanton and Heegaard Floer homologies. Using these, we derive obstructions to such cobordisms. As one
Externí odkaz:
http://arxiv.org/abs/1904.09721