23 Result(s)

Article

Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-Theory

Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Accordingly, even non-abelian g...

Antonella Grassi, James Halverson… in Communications in Mathematical Physics (2015)

Article

Matter from geometry without resolution

We utilize the deformation theory of algebraic singularities to study charged matter in compactifications of M-theory, F-theory, and type IIa string theory on ellipti- cally fibered Calabi-Yau manifolds. In F-...

Antonella Grassi, James Halverson, Julius L. Shaneson in Journal of High Energy Physics (2013)

Chapter

Knots, Singular Embeddings, and Monodromy

The Goresky-MacPherson L-class of a PL pseudomanifold piecewise-linearly embedded in a PL manifold in a possibly nonlocally flat way, can be computed in terms of the Hirzebruch-Thom L-class of the manifold and...

Markus Banagl, Sylvain E. Cappell, Julius L. Shaneson in The Mathematics of Knots (2011)

Article

Hodge genera of algebraic varieties, II

We study the behavior of Hodge-genera under algebraic maps. We prove that the motivic \({\chi^c_y}\) -genus satisfies...

Sylvain E. Cappell, Anatoly Libgober, Laurentiu G. Maxim… in Mathematische Annalen (2009)

Article

Computing twisted signatures and L-classes of stratified spaces

 This paper establishes an Atiyah-type characteristic class formula for both the twisted signature and the twisted L-classes of a singular space. The result, in its present form, applies to coefficient systems th...

Markus Banagl, Sylvain E. Cappell, Julius L. Shaneson in Mathematische Annalen (2003)

Chapter and Conference Paper

Characteristic Classes, Lattice Points, and Euler-MacLaurin Formulae

In this paper I would like to survey and strengthen some of the connections between topology and other areas of mathematics, pure and applied, and areas beyond mathematics as well. One type of problem that app...

Julius L. Shaneson in Proceedings of the International Congress of Mathematicians (1995)

Article

On four-dimensionals-cobordisms, II

Sylvain E. Cappell, Julius L. Shaneson in Commentarii Mathematici Helvetici (1989)

Article

Class numbers and periodic smooth maps

Sylvain E. Cappell, Julius L. Shaneson in Commentarii Mathematici Helvetici (1983)

Article

The topological rationality of linear representations

Sylvain E. Cappell, Julius L. Shaneson in Publications Mathématiques de l'Institut d… (1982)

Article

Fixed points of periodic differentiable maps

Sylvain E. Cappell, Julius L. Shaneson in Inventiones mathematicae (1982)

Article

Link cobordism

Sylvain E. Cappell, Julius L. Shaneson in Commentarii Mathematici Helvetici (1980)

Chapter and Conference Paper

A counterexample on the oozing problem for closed manifolds

Sylvain E. Cappell, Julius L. Shaneson in Algebraic Topology Aarhus 1978 (1979)

Chapter and Conference Paper

Pseudo-free actions, I

Sylvain E. Cappell, Julius L. Shaneson in Algebraic Topology Aarhus 1978 (1979)

Article

Fundamental groups, Γ-groups, and codimension two submanifolds

Sylvain E. Cappell, Julius L. Shaneson in Commentarii Mathematici Helvetici (1976)

Chapter and Conference Paper

Spines and spinelessness

Julius L. Shaneson in Geometric Topology (1975)

Chapter and Conference Paper

Some problems in hermitian K — Theory

Julius L. Shaneson in Hermitian K-Theory and Geometric Applications (1973)

Chapter and Conference Paper

Hermitian K — Theory in topology

Julius L. Shaneson in Hermitian K-Theory and Geometric Applications (1973)