Results 21 to 30 of about 19,706 (253)

Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds

International Journal of Mathematics and Mathematical Sciences, 2002
Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.
Patrick W. Darko
doaj   +1 more source

An invariant of smooth 4-manifolds [PDF]

, 1997
We define a diffeomorphism invariant of smooth 4-manifolds which we can estimate for many smoothings of R^4 and other smooth 4-manifolds. Using this invariant we can show that uncountably many smoothings of R^4 support no Stein structure.
Casson, De Michelis, Donaldson, Freedman, Freedman, Gompf, Grauert, Kirby, Kirby, Laurence R Taylor, Milnor, Taubes   +11 more
core   +3 more sources

Minimal genera of open 4-manifolds [PDF]

, 2017
We study exotic smoothings of open 4-manifolds using the minimal genus function and its analog for end homology. While traditional techniques in open 4-manifold smoothing theory give no control of minimal genera, we make progress by using the adjunction ...
Gompf, Robert E.
core   +1 more source

Small exotic Stein manifolds

Commentarii Mathematici Helvetici, 2010
It is known that the only Stein filling of the standard contact structure on S^3 is B^4 .
Akbulut, Selman, Yasui, Kouichi
openaire   +3 more sources

Meromorphic convexity on Stein manifolds

, 2023
We consider generalizations of rational convexity to Stein manifolds and prove related ...
Boudreaux, Blake J., Shafikov, Rasul
openaire   +2 more sources

Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

Comptes Rendus. Mathématique
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu   +3 more
doaj   +1 more source

The Oka principle for sections of subelliptic submersions

, 2001
Let X and Y be complex manifolds. One says that maps from X to Y satisfy the Oka principle if the inclusion of the space of holomorphic maps from X to Y into the space of continuous maps is a weak homotopy equivalence. In 1957 H.
Forstneric, Franc
core   +1 more source

Constructing Stein manifolds after Eliashberg [PDF]

, 2009
16 pages, 1 figure.
openaire   +2 more sources

Compactness of the Complex Green Operator on C¹ Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari, Emad Solouma, Marin Marin, A. F. Aljohani, Sayed Saber   +4 more
doaj   +1 more source

CORRELATORS AND DESCENDANTS OF SUBCRITICAL STEIN MANIFOLDS [PDF]

International Journal of Mathematics, 2013
We determine the contact homology algebra of a subcritical Stein-fillable contact manifold whose first Chern class vanishes. We also compute the genus-0 one point correlators and gravitational descendants of compactly supported closed forms on their subcritical Stein fillings.
openaire   +2 more sources