On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots.
Constructing generic smooth maps of a manifold into a surface with prescribed singular loci
It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.
On the self-intersection set and the image on a generic map.
Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs.
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Singular fibers of stable maps and signatures of 4-manifolds.
Extending generalized Fibonacci sequences and their Binet-type formula.
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