CANCELLING CR SINGULARITIES OF MARKO SLAPAR, SAŠO STRLE

Abstract

Let M be a closed oriented

-manifold generically embedded in a complex

3 $3$ 3

-manifold X . Its CR singular set is an oriented link

L ⊂ M $L\subset M$ upper L subset of upper M

. We prove that if a sublink

L ′ ⊂ L $L'\subset L$ upper L prime subset of upper L

bounds an oriented Seifert surface

S ⊂ M $S\subset M$ upper S subset of upper M

in the complement of

L ∖ L ′ $L\setminus L'$ upper L minus upper L prime

, then the CR singularities along

L ′ $L'$ upper L prime

can be cancelled by an arbitrarily

C 0 $\mathcal {C}^0$ script upper C Superscript 0

-small isotopy supported in an arbitrarily small neighbourhood of S .