Extra-twisted connected sum G2-manifolds

被引：0
|
作者：
Nordstrom, Johannes [1 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, England
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2023年 / 64卷 / 01期
关键词：
Special holonomy; G(2) structures; 7-manifolds; K3; surfaces; WEAK FANO THREEFOLDS; NON-SYMPLECTIC INVOLUTION; K3; SURFACES; CLASSIFICATION; CONSTRUCTION; 7-MANIFOLDS;
D O I：
10.1007/s10455-023-09893-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a construction of closed 7-manifolds of holonomy G(2), which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy GG(2) metrics.
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