Results 31 to 40 of about 164,169 (170)
Harmonic forms on principal bundles [PDF]
Asian Journal of Mathematics, 2012 26 pages; v2 corrected typos and minor ...
openaire +4 more sources
A new kind of geometric phases in open quantum systems and higher gauge theory
, 2011 A new approach extending the concept of geometric phases to adiabatic open quantum systems described by density matrices (mixed states) is proposed. This new approach is based on an analogy between open quantum systems and dissipative quantum systems ...
Lages, Jose, Viennot, David
core +2 more sources
Can You hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
, 2020 Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets and their forwards dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes discounting and
Farinelli, Simone, Takada, Hideyuki
core +1 more source
A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]
, 2015 A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Bleecker D. +12 more
core +3 more sources
Non-abelian higher gauge theory and categorical bundle
, 2016 A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
core +3 more sources
Population Ecology, EarlyView.This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier +6 more
wiley +1 more source
Crossed Module Bundle Gerbes; Classification, String Group and Differential Geometry
, 2005 We discuss nonabelian bundle gerbes and their differential geometry using simplicial methods. Associated to any crossed module there is a simplicial group NC, the nerve of the 1-category defined by the crossed module and its geometric realization |NC ...
Aschieri P. +7 more
core +1 more source
Lectures on Principal Bundles [PDF]
, 2009 To Peter Newstead on his 65th birthday Introduction The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The second section develops the basic machinery on principal bundles and their automorphisms.
openaire +3 more sources
The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
The noncommutative geometry of Yang-Mills fields
, 2010 We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes.
Atiyah +24 more
core +1 more source