Results 21 to 30 of about 553 (145)

Heegaard splittings and Morse-Smale flows

International Journal of Mathematics and Mathematical Sciences, 2003
We describe three theorems which summarize what survives in three dimensions of Smale's proof of the higher-dimensional Poincaré conjecture. The proofs require Smale's cancellation lemma and a lemma asserting the existence of a 2-gon. Such 2-gons are the
Ralf Gautschi, Joel W. Robbin, Dietmar A. Salamon   +2 more
doaj   +1 more source

The boostless bootstrap: amplitudes without Lorentz boosts

Journal of High Energy Physics, 2020
Poincaré invariance is a well-tested symmetry of nature and sits at the core of our description of relativistic particles and gravity. At the same time, in most systems Poincaré invariance is not a symmetry of the ground state and is hence broken ...
Enrico Pajer, David Stefanyszyn, Jakub Supeł   +2 more
doaj   +1 more source

Topology of 3-dimensional manifolds [PDF]

ریاضی و جامعه
This is the second paper from a trio which reviews some of the progress in low dimensional topology in the past century. Starting with the work of Poincare in the last years of 19th century and first few years of 20th century, we review the major steps ...
Eaman Eftekhary
doaj   +1 more source

Graphs and projective plaines in 3-manifolds

International Journal of Mathematics and Mathematical Sciences, 1986
Proper homotopy equivalent compact P2-irreducible and sufficiently large 3-manifolds are homemorphic. The result is not known for irreducible 3-manifolds that contain 2-sided projective planes, even if one assumes the Poincaré conjecture.
Wolfgang Heil, Seiya Negami
doaj   +1 more source

Massive AdS supergravitons and holography

Journal of High Energy Physics, 2019
I compare two holographic mechanisms giving to the graviton a parametrically-small supersymmetric mass m g in Anti-de Sitter spacetime. In the context of bimetric gravity these mechanisms couple ‘weakly’ two initially decoupled superconformal theories by:
Constantin Bachas
doaj   +1 more source

Negation of the Smooth Poincare Conjecture in Dimension 4 and Negation of the Tsirelson’s Conjecture Shed Light on Quantum Gravity

Universe
If spacetime is a physical object, it is conceivable that it loses its integrity or is destroyed in some way as a continuum in an abrupt process initiated in spacetime itself.
Jerzy Król, Torsten Asselmeyer-Maluga
doaj   +1 more source

Hipóteses e interpretação experimental: a conjetura de poincaré e a descoberta da hiperfosforescência por Becquerel e Thompson Hypothesis and experimental interpretation: Poincaré's conjecture and the discovery of hyperphosphorescence by Becquerel and Thompson

Ciência & Educação, 2004
Este trabalho descreve as pesquisas realizadas por Henri Becquerel e por Silvanus Thompson, em 1897, que são normalmente descritas como representando a descoberta da radioatividade.
Roberto de Andrade Martins
doaj   +1 more source

Space-Time Defects and Group Momentum Space

Advances in High Energy Physics, 2017
We study massive and massless conical defects in Minkowski and de Sitter spaces in various space-time dimensions. The energy momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the ...
Michele Arzano, Tomasz Trześniewski
doaj   +1 more source

Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas, Mauro Monforte, Angel Sanchez‐Montañez, Penélope Romero‐Duque, Elena Pegoraro, Jordi Díaz‐Manera, Dmitry Vlodavets, Lorenzo Maggi, Marco Moscatelli, Adele D‘Amico, Montse Olivé, Jorge Alonso‐Pérez, Giacomo Comi, José Miguel Escudero‐Fernández, Gabriela S. Urcuyo, Anna Pichiecchio, Angela Berardinelli, Kristl G. Claeys, Claudio Bruno, Chiara Panicucci, Sara Bortolani, Eleonora Torchia, Enzo Ricci, Soledad Monges, Jorge A. Bevilacqua, Jorge Diaz‐Jara, Maggie C. Walter, Simone Thiele, Nicoline Løkken, John Vissing, Susana Quijano‐Roy, Robert Y. Carlier, Nicol C. Voermans, Chiara Marini‐Bettolo, Michela Guglieri, Volker Straub, Lea Leonardis, Francina Munell, David Gómez‐Andrés, Giorgio Tasca   +39 more
wiley   +1 more source

Searching for ribbons with machine learning

Machine Learning: Science and Technology
We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk. This question is relevant in an approach to disproving the four-dimensional smooth Poincaré conjecture; using our ...
Sergei Gukov, James Halverson, Ciprian Manolescu, Fabian Ruehle   +3 more
doaj   +1 more source