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math.GT2015★ 8 cited
Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications
Osamu Saeki, Takahiro Yamamoto
In this paper, we first classify singular fibers of proper stable maps of 3-dimensional manifolds with boundary into surfaces. Then, we compute the cohomology groups of…
math.GT2009★ 13 cited
Singular fibers of stable maps and signatures of 4-manifolds
Osamu Saeki, Takahiro Yamamoto
We show that for a C^infty stable map of an oriented 4-manifold into a 3-manifold, the algebraic number of singular fibers of a specific type coincides with the signature of the so…