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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...
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...
We study effective potentials coming from compactifications of string theory. We show that, under mild assumptions, such potentials are bounded from below in four dimensions, giving an affirmative ans...
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. ...
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 ...
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...
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...
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...
Successive toroidal compactifications of a closed bosonic string are studied and some Lie groups solutions are derived.

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