Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Maciej Borodzik"'
Autor:
MACIEJ BORODZIK, CHARLES LIVINGSTON
Publikováno v:
Forum of Mathematics, Sigma, Vol 2 (2014)
We apply the methods of Heegaard Floer homology to identify topological properties of complex curves in $\mathbb{C}P^{2}$. As one application, we resolve an open conjecture that constrains the Alexander polynomial of the link of the singular point
Externí odkaz:
https://doaj.org/article/87f8e4663513472a8979b7dd2f9ce62f
Autor:
Maciej Borodzik, Monika Szczepanowska
Publikováno v:
The Journal of Geometric Analysis. 32
We show that if a closed $C^1$-smooth surface in a Riemannian manifold has bounded Kolasinski--Menger energy, then it can be triangulated with triangles whose number is bounded by the energy and the area. Each of the triangles is an image of a subset
Autor:
Maciej Borodzik, Michał Denkiewicz, Krzysztof Spaliński, Kamila Winnicka-Sztachelska, Kaustav Sengupta, Marcin Pilipczuk, Michał Pilipczuk, Yijun Ruan, Dariusz Plewczynski
MotivationWe propose a practical algorithm based on graph theory, with the purpose of identifying CTCF-mediated chromatin loops that are linked in 3D space. Our method is based finding clique minors in graphs constructed from pairwise chromatin inter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::506222e6387480f089e14290f9e271da
https://doi.org/10.1101/2022.07.13.499767
https://doi.org/10.1101/2022.07.13.499767
Autor:
Maciej Borodzik, Jakub Zarzycki
Publikováno v:
Journal of Knot Theory and Its Ramifications. 31
We show that under a precise condition on the single variable Alexander polynomial, the limit at one of the Tristram–Levine signature of a link is determined by the linking matrix.
Autor:
Maciej Borodzik, Wojciech Politarczyk
Publikováno v:
Indiana University Mathematics Journal. 70:235-267
Based on the results of the second author, we define an equivariant version of Lee and Bar-Natan homology for periodic links and show that there exists an equivariant spectral sequence from the equivariant Khovanov homology to equivariant Lee homolog
This is the first paper in a series of three devoted to studying twisted linking forms of knots and three-manifolds. Its function is to provide the algebraic foundations for the next two papers by describing how to define and calculate signature inva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d97d49659d7e0e43aa03c781daf7458
http://arxiv.org/abs/2111.10632
http://arxiv.org/abs/2111.10632
Autor:
Maciej Borodzik, Jakub Zarzycki
Publikováno v:
Trends in Mathematics ISBN: 9783030619572
In this survey article we present connections between Picard–Lefschetz invariants of isolated hypersurface singularities and Blanchfield forms for links. We emphasize the unifying role of Hermitian Variation Structures introduced by Nemethi.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cf08408ed4e0b8be54b7b1d985ac17c
https://doi.org/10.1007/978-3-030-61958-9_4
https://doi.org/10.1007/978-3-030-61958-9_4
Publikováno v:
J. Math. Soc. Japan 72, no. 4 (2020), 1025-1048
For a prime number $q\neq 2$ and $r>0$, we study whether there exists an isometry of order $q^r$ acting on a free $\mathbb{Z}_{p^k}$-module equipped with a scalar product. We investigate whether there exists such an isometry with no non-zero fixed po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a30974bf824751470e1580cf07ea115b
https://projecteuclid.org/euclid.jmsj/1595901849
https://projecteuclid.org/euclid.jmsj/1595901849
Autor:
Arnaud Bodin, Maciej Borodzik
Publikováno v:
Israel Journal of Mathematics. 227:63-111
For a smooth complex curve C ⊂ ℂ2 we consider the link Lr = C ∩ ∂Br, where Br denotes an Euclidean ball of radius r > 0. We prove that the diagram Dr obtained from Lr by a complex stereographic projection satisfies χ(C ∩Br) = rot(Dr)−wr(
Autor:
Matthew Hedden, Maciej Borodzik
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 164:401-411
Given anL–space knot we show that its ϒ function is the Legendre transform of a counting function equivalent to thed–invariants of its large surgeries. The unknotting obstruction obtained for the ϒ function is, in the case ofL–space knots, co