Results 11 to 20 of about 393,149 (150)
Derived stacks in symplectic geometry
, 2018 This is a survey paper on derived symplectic geometry, that will appear as a chapter contribution to the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel Catren.
Calaque, Damien
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Existence and Uniqueness of Weak Homotopy Moment Maps [PDF]
, 2018 In this paper we show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisym- plectic geometry.
Herman, Jonathan
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Compactness results in Symplectic Field Theory
, 2003 This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in [Y Eliashberg, A Givental and H Hofer, Introduction to Symplectic Field Theory, Geom. Funct. Anal. Special Volume, Part II (2000) 560--673].
Bourgeois, F +4 more
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Locally conformal symplectic nilmanifolds with no locally conformal K\"ahler metrics [PDF]
, 2014 We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K\"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.Comment: 7 pages, no figures.
Carlos Marrero, Giovanni Bazzoni, Juan
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The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Mathematische Nachrichten, EarlyView.Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura +2 more
wiley +1 more source
Multiphysics Simulation Methods in Computer Graphics
Computer Graphics Forum, EarlyView.Abstract Physics simulation is a cornerstone of many computer graphics applications, ranging from video games and virtual reality to visual effects and computational design. The number of techniques for physically‐based modeling and animation has thus skyrocketed over the past few decades, facilitating the simulation of a wide variety of materials and ...
Daniel Holz +5 more
wiley +1 more source
Formality and the Lefschetz property in symplectic and cosymplectic geometry
, 2015 We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-
Bazzoni, Giovanni +2 more
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An observation on the existence of stable generalized complex structures on ruled surfaces
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1077-1082, April 2025.Abstract We point out that any stable generalized complex structure on a sphere bundle over a closed surface of genus at least two must be of constant type.
Rafael Torres
wiley +1 more source
Pseudo-Riemannian geometry in terms of multi-linear brackets [PDF]
, 2013 We show that the pseudo-Riemannian geometry of submanifolds can be formulated in terms of higher order multi-linear maps. In particular, we obtain a Poisson bracket formulation of almost (para-)K\"ahler geometry.
arxiv +1 more source
Dirac structures, moment maps and quasi-Poisson manifolds [PDF]
, 2003 We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds
Bursztyn, Henrique, Crainic, Marius
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