Lukova N. Functions on 3-manifolds

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U000509

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

23-02-2010

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

The criterion of geometric equivalence of Morse-Smale functions on closed 3-manifolds was proved using generalized ordered Heegaard diagrams. The realization theorem for the diagrams was proved and the number of nonequivalent functions on Heegaard surface of genus 1 with no more than 6 meridian intersections was calculated.

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