Results 41 to 50 of about 32,264 (146)
Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
core +1 more source
Kirwan surjectivity for the equivariant Dolbeault cohomology [PDF]
Journal of Geometry and Physics, 2019 17 pages, comments welcome!
openaire +3 more sources
Duality of Hodge numbers of compact complex nilmanifolds
Complex Manifolds, 2015 A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
doaj +1 more source
A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds
Complex Manifolds, 2017 A cohomology theory associated to a holomorphic Poisson structure is the hypercohomology of a bicomplex where one of the two operators is the classical მ̄-operator, while the other operator is the adjoint action of the Poisson bivector with respect to ...
Poon Yat Sun, Simanyi John
doaj +1 more source
Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
doaj +1 more source
Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
doaj +1 more source
Dolbeault Cohomology of Graphs and Berkovich Curves
, 2021 We introduce real-valued $(p,q)$-forms on weighted metric graphs with boundary similar to Lagerberg forms on polyhedral spaces. We compute the Dolbeault cohomology and prove Poincaré duality. Using Thuillier's thesis, the skeleton of a strictly semistable formal curve is canonically a weighted metric graph with boundary.
Gubler, Walter +2 more
openaire +2 more sources
Dolbeault cohomology of a loop space
Acta Mathematica, 2004 26 ...
Lempert, László, Zhang, Ning
openaire +4 more sources
F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020 Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley +1 more source
Moduli identification methods in Type II compactifications
Journal of High Energy Physics, 2018 Recent work on four dimensional effective descriptions of the heterotic string has identified the moduli of such systems as being given by kernels of maps between ordinary Dolbeault cohomology groups.
James Gray, Hadi Parsian
doaj +1 more source