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Unstabilized and uncritical self-amalgamation along essential subsurfaces.

Authors :
Liang, Liang
Li, Fengling
Lei, Fengchun
Source :
SCIENCE CHINA Mathematics; Sep2019, Vol. 62 Issue 9, p1807-1812, 6p
Publication Year :
2019

Abstract

Suppose V ∪<subscript>S</subscript>W is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F<subscript>1</subscript> and F<subscript>2</subscript> are pairwise disjoint homeomorphic essential subsurfaces in ∂_V. In this paper, we give a suffcient condition such that the self-amalgamation of V ∪<subscript>S</subscript>W along F<subscript>1</subscript> and F<subscript>2</subscript> is unstabilized and uncritical. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16747283
Volume :
62
Issue :
9
Database :
Complementary Index
Journal :
SCIENCE CHINA Mathematics
Publication Type :
Academic Journal
Accession number :
138396827
Full Text :
https://doi.org/10.1007/s11425-017-9202-3