Non-diffeomorphic minimal genus relative trisections of the same 4-manifold

被引：0
|
作者：
Takahashi, Natsuya [1 ]
机构：
[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, 1-5 Yamadaoka, Suita, Osaka 5650871, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2024年 / 33卷 / 06期
关键词：
4-manifold; trisection; relative trisection; HEEGAARD-SPLITTINGS;
D O I：
10.1142/S0218216524500160
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of a 4-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same (g,k; p,b)-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed 4-manifold from a relative trisection diagram.
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页数：11
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