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math.GT2007★ 5 cited
Cobordisms of fold maps and maps with prescribed number of cusps
Tobias Ekholm, Andras Szucs, Tamas Terpai
A generic smooth map of a closed -manifold into -space has a finite number of cusps (-singularities). We determine the possible numbers of cusps of such maps.…
math.GT2000
Geometric formulas for Smale invariants of codimension two immersions
Tobias Ekholm, Andras Szucs
We give three formulas expressing the Smale invariant of an immersion f of a (4k-1)-sphere into (4k+1)-space. The terms of the formulas are geometric characteristics of any generic…