Simply Connected 3-Manifolds with a Dense Set of Ends of Specified Genus
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0907-9
Abstract: We show that for every sequence $$(n_i)$$(ni), where each $$n_i$$ni is either an integer greater than 1 or is $$\infty $$∞, there exists a simply connected open 3-manifold M with a countable dense set of… read more here.
Keywords: dense set; connected manifolds; genus; set ends ... See more keywords
Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds
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DOI: 10.1007/s00013-020-01511-x
Abstract: Using the recent work of Bettiol, we show that a first-order conformal deformation of Wilking’s metric of almost-positive sectional curvature on $$S^2\times S^3$$ yields a family of metrics with strictly positive average of sectional curvatures… read more here.
Keywords: metrics positive; existence riemannian; positive biorthogonal; simply connected ... See more keywords
The classification of compact simply connected biquotients in dimension 6 and 7
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DOI: 10.1007/s00208-016-1460-8
Abstract: We classify all compact simply connected biquotients of dimension 6 and 7. For each 6-dimensional biquotient, all pairs of groups (G, H) and homomorphisms $$H\rightarrow G\times G$$H→G×G giving rise to it are classified. read more here.
Keywords: connected biquotients; biquotients dimension; simply connected; compact simply ... See more keywords
The derived subgroup of linear and simply-connected o-minimal groups
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DOI: 10.1016/j.jalgebra.2019.02.022
Abstract: We show that the derived subgroup of a linear definable group in an o-minimal structure is also definable, extending the semialgebraic case proved by A. Pillay. We also show the definability of the derived subgroup… read more here.
Keywords: subgroup linear; connected minimal; linear simply; derived subgroup ... See more keywords
A remark on the probabilistic solution of the Dirichlet problem for simply connected domains in the plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.045
Abstract: Abstract A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the conformal invariance of planar Brownian… read more here.
Keywords: dirichlet problem; domains plane; solution dirichlet; connected domains ... See more keywords
Oscillating simply connected wandering domains
Sign Up to like & getrecommendations! Published in 2022 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.169
Abstract: Although detailed descriptions of the possible types of behaviour inside periodic Fatou components have been known for over 100 years, a classification of wandering domains has only recently been given. Recently, simply connected wandering domains… read more here.
Keywords: connected wandering; wandering domains; oscillating simply; oscillating wandering ... See more keywords
SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS
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DOI: 10.1017/fms.2019.11
Abstract: We construct infinitely many compact, smooth 4-manifolds which are homotopy equivalent to $S^{2}$ but do not admit a spine (that is, a piecewise linear embedding of $S^{2}$ that realizes the homotopy equivalence). This is the… read more here.
Keywords: simply connected; connected spineless; spineless manifolds;
Simply connected latin quandles
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DOI: 10.1142/s021821651843006x
Abstract: A (left) quandle is connected if its left translations generate a group that acts transitively on the underlying set. In 2014, Eisermann introduced the concept of quandle coverings, corresponding to constant quandle cocycles of Andruskiewitsch… read more here.
Keywords: simply connected; connected latin; constant cohomology; latin quandles ... See more keywords
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
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DOI: 10.5802/crmath.61
Abstract: It is well known that Sullivan showed that the mapping class group of a simply connected highdimensional manifold is commensurable with an arithmetic group, but the meaning of “commensurable” in this statement seems to be… read more here.
Keywords: arithmetic group; group; simply connected; mapping class ... See more keywords