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

共 50 条

[31] Cyclic Group Actions on 4-Manifolds
Yong Seung Cho
Yoon Hi Hong
Acta Mathematica Hungarica, 2002, 94 : 333 - 350
[32] THE IMBEDDING PROBLEM OF 3-MANIFOLDS INTO 4-MANIFOLDS
KAWAUCHI, A
OSAKA JOURNAL OF MATHEMATICS, 1988, 25 (01) : 171 - 183
[33] Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank
Torres, Rafael
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (05) : 831 - 838
[34] THE GEOGRAPHY OF SYMPLECTIC 4-MANIFOLDS WITH DIVISIBLE CANONICAL CLASS
Hamilton, Mark J. D.
PACIFIC JOURNAL OF MATHEMATICS, 2010, 244 (01) : 37 - 84
[35] SURGERY IN CUSP NEIGHBORHOODS AND THE GEOGRAPHY OF IRREDUCIBLE 4-MANIFOLDS
FINTUSHEL, R
STERN, RJ
INVENTIONES MATHEMATICAE, 1994, 117 (03) : 455 - 523
[36] Geography of symplectic 4-manifolds with Kodaira dimension one
Baldridge, Scott
Li, Tian-Jun
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, 5 : 355 - 368
[37] GEOGRAPHY OF SIMPLY CONNECTED SPIN SYMPLECTIC 4-MANIFOLDS
Akhmedov, Anar
Park, B. Doug
MATHEMATICAL RESEARCH LETTERS, 2010, 17 (03) : 483 - 492
[38] Homotopy self-equivalences of 4-manifolds with PD2 fundamental group
Pamuk, Mehmetcik
TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (08) : 1445 - 1458
[39] IDENTIFICATION OF CERTAIN 4-MANIFOLDS WITH GROUP ACTIONS
FINTUSHEL, R
PAO, PS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 67 (02) : 344 - 350
[40] Nonsmoothable group actions on spin 4-manifolds
Kiyono, Kazuhiko
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2011, 11 (03): : 1345 - 1359

← 1 2 3 4 5 →