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Geometry of Satake and Toroidal Compactifications
Geometry of Satake Toroidal Compactifications
2014/12/8
In [JM02, section 14], Ji and MacPherson give new constructions of the Borel--Serre and reductive Borel--Serre compactifications [BS73, Zuc82] of a locally symmetric space. They use equivalence classe...
Compactifications of spaces of Landau-Ginzburg models
Compactifications Landau-Ginzburg models Algebraic Geometry
2012/7/9
This paper reviews results and techniques from the authors' previous work "Symplectomorphism group relations and degenerations of Landau-Ginzburg models" and applies them in basic examples. The main e...
Banach representations and affine compactifications of dynamical systems
affine compactification affine flow Asplund space enveloping semigroup non-sensitivity right topological semigroup
2012/4/18
To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e. ...
Compactifications of Complete Riemannian manifolds and Their Applications
Compactifications Complete Riemannian manifolds Applications
2011/1/21
To study a noncompact Riemannian manifold, it is often useful to find a compactification
or attach a boundary. For example, in hyperbolic geometry a lot of investigation is carried out on the sphere ...
Uniform Eberlein compactifications of metrizable spaces
scattered space metrizable space scattered compactification
2011/1/18
We prove that each metrizable space X (of size |X| c) has a (first countable) uniform Eberlein compactification and each scattered metriz-able space has a scattered hereditarily paracompact compacti...
We give an informal survey, emphasizing examples and open problems, of two interconnected research programs in moduli of curves: the systematic classi cation of modular compacti cations of Mg;n, and t...
Double quiver gauge theory and nearly Kahler flux compactifications
Double quiver gauge theory nearly Kahler flux compactifications
2010/12/15
We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds
of the form M × G/H where M is a smooth manifold, and G/H is a compact six-dimensional
homogeneous spac...
Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups
Large scale geometry compactifications integral Novikov conjectures arithmetic groups
2018/4/20
The original Novikov conjecture concerns the (oriented) homotopy invariance of higher signatures of manifolds and is equivalent to the rational injectivity of the assembly map in surgery theory. The i...