Results 21 to 30 of about 235,737 (191)
On the Proper Treatment of Dynamics in Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
wiley +1 more source
BPS invariants of semi-stable sheaves on rational surfaces [PDF]
, 2013 BPS invariants are computed, capturing topological invariants of moduli spaces of semi-stable sheaves on rational surfaces. For a suitable stability condition, it is proposed that the generating function of BPS invariants of a Hirzebruch surface takes ...
Manschot, Jan
core +1 more source
On the integral Hodge conjecture for real varieties, I [PDF]
, 2019 We formulate the "real integral Hodge conjecture", a version of the integral Hodge conjecture for real varieties, and raise the question of its validity for cycles of dimension 1 on uniruled and Calabi-Yau threefolds and on rationally connected varieties.
Benoist, Olivier, Wittenberg, Olivier
core +4 more sources
Division-Algebras/Poincare-Conjecture Correspondence [PDF]
, 2013 We briefly describe the importance of division algebras and Poincare conjecture in both mathematical and physical scenarios. Mathematically, we argue that using the torsion concept one can combine the formalisms of division algebras and Poincare ...
Juan Antonio Nieto
semanticscholar +1 more source
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 +2 more
doaj +1 more source
Geometry of massless scattering in integrable superstring
Journal of High Energy Physics, 2019 We consider the action of the q-deformed Poincaré superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable AdS 2 × S 2 × T 6 type IIB superstring theory. The boost generator acts non-trivially on the R-matrix, confirming
A. Fontanella, A. Torrielli
doaj +1 more source
The Lambrechts-Stanley Model of Configuration Spaces [PDF]
, 2018 We prove the validity over $\mathbb{R}$ of a commutative differential graded algebra model of configuration spaces for simply connected closed smooth manifolds, answering a conjecture of Lambrechts--Stanley. We get as a result that the real homotopy type
Idrissi, Najib
core +3 more sources
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 +2 more
doaj +1 more source
Topology of 3-dimensional manifolds [PDF]
ریاضی و جامعهThis 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
Perfect Reeb flows and action-index relations [PDF]
, 2014 We study non-degenerate Reeb flows arising from perfect contact forms, i.e., the forms with vanishing contact homology differential. In particular, we obtain upper bounds on the number of simple closed Reeb orbits for such forms on a variety of contact ...
Gurel, Basak Z.
core +1 more source