Results 31 to 40 of about 7,311 (162)

Index theorems for holomorphic maps and foliations [PDF]

Indiana University Mathematics Journal, 2008
We describe a general construction providing index theorems localizing the Chern classes of the normal bundle of a subvariety inside a complex manifold. As particular instances of our construction we recover both Lehmann-Suwa's generalization of the classical Camacho-Sad index theorem for holomorphic foliations and our index theorem for holomorphic ...
Abate, M, BRACCI, FILIPPO, TOVENA, FRANCESCA   +2 more
openaire   +4 more sources

Teichmüller TQFT vs. Chern-Simons theory

Journal of High Energy Physics, 2018
Teichmüller TQFT is a unitary 3d topological theory whose Hilbert spaces are spanned by Liouville conformal blocks. It is related but not identical to PSL(2, ℝ) Chern-Simons theory.
Victor Mikhaylov
doaj   +1 more source

Deformation theory for holomorphic foliations [PDF]

Journal of Differential Geometry, 1979
T. Duchamp, Morris Kalka
openalex   +4 more sources

Transformation groups of holomorphic foliations [PDF]

Communications in Analysis and Geometry, 2002
The authors prove that the group of self bimeromorphisms of a foliation of general type on a projective surface is finite. In the course of the proof, they study the structure of foliations of arbitrary codimension which possess an infinite linear algebraic group of automorphisms.
Pereira, Jorge Vitório, Sánchez, Percy Fernández   +1 more
openaire   +1 more source

On groups of formal diffeomorphisms of several complex variables

Anais da Academia Brasileira de Ciências, 2012
In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the ...
Mitchael Martelo, Bruno Scárdua
doaj   +1 more source

Foliations on modular curves

, 2016
It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.Comment: to appear Bulletin of the ...
F Diamond, HB Lawson, Igor V. Nikolaev, K Strebel, WA Veech, WP Thurston   +5 more
core   +1 more source

Normal forms of vector fields induced by holomorphic actions of the group SL(2,C) on a complex manifold

Selecciones Matemáticas
In this work, we study actions of the Lie group SL(2,C) on a complex manifold of dimension three or higher. It is demonstrated that these types of actions induce three complete holomorphic vector fields, one of which is periodic, and that there exists a
Benito Leonardo Ostos Cordero
doaj   +1 more source

On holomorphic one-forms transverse to closed hypersurfaces

Anais da Academia Brasileira de Ciências, 2003
In this note we announce some achievements in the study of holomorphic distributions admitting transverse closed real hypersurfaces. We consider a domain with smooth boundary in the complex affine space of dimension two or greater. Assume that the domain
Toshikazu Ito, Bruno Scárdua
doaj   +1 more source

Differentiable equisingularity of holomorphic foliations [PDF]

Journal of Singularities, 2019
We prove that a $C^{\infty}$ equivalence between germs holomorphic foliations at $({\mathbb C}^2,0)$ establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.
Mol, Rogério, Rosas, Rudy
openaire   +3 more sources

The mean curvature of transverse K\"ahler foliations

, 2018
We study properties of the mean curvature one-form and its holomorphic and antiholomorphic cousins on a transverse K\"ahler foliation. If the mean curvature of the foliation is automorphic, then there are some restrictions on basic cohomology similar to ...
Jung, Seoung Dal, Richardson, Ken
core   +2 more sources