THE GEOGRAPHY PROBLEM FOR 4-MANIFOLDS WITH SPECIFIED FUNDAMENTAL GROUP

被引：8

作者：

Kirk, Paul ^{[1
]}

Livingston, Charles ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 08期

关键词：

Hausmann-Weinberger invariant; fundamental group; four-manifold; minimal Euler characteristic; geography; SYMPLECTIC; 4-MANIFOLDS; EULER CHARACTERISTICS; L(2)-BETTI NUMBERS;

D O I：

10.1090/S0002-9947-09-04649-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any class M of 4-manifolds, for instance the class M(G) of closed oriented manifolds with pi(1) (M) congruent to G for a fixed group G, the geography of M is the set of integer pairs {(sigma(M), chi(M)) vertical bar M is an element of M}, where sigma and chi denote the signature and Euler characteristic. This paper explores general properties of the geography of M(G) and undertakes an extended study of M(Z(n)).

引用

页码：4091 / 4124

页数：34

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