NEW HOMOTOPY 4-SPHERES

被引：2

作者：

Nash, Daniel ^{[1
]}

机构：

[1] Alfred Renyi Inst Math, H-1364 Budapest, Hungary

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2012年 / 256卷 / 01期

关键词：

4-manifold; surgery; smooth Poincare conjecture; SMALL; 4-MANIFOLDS; STANDARD; SPHERES;

D O I：

10.2140/pjm.2012.256.165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use surgery along 2-tori embedded in a union of two copies of T-0(2) x T-0(2) to produce a new collection of homotopy 4-spheres.

引用

页码：165 / 176

页数：12

共 14 条

[1] EXOTIC INVOLUTION OF S4 [J].

AKBULUT, S ;

KIRBY, R .

TOPOLOGY, 1979, 18 (01) :75-81

[2]

Akbulut S., 2011, ARXIV11022683

[3]

Akbulut S, 2010, ANN MATH, V171, P2171

[4] Constructing infinitely many smooth structures on small 4-manifolds [J].

Akhmedov, Anar ;

Baykur, R. Inanc ;

Park, B. Doug .

JOURNAL OF TOPOLOGY, 2008, 1 (02) :409-428

[5] A symplectic manifold homeomorphic but not diffeomorphic to CP2#3CP2 [J].

Baldridge, Scott ;

Kirk, Paul .

GEOMETRY & TOPOLOGY, 2008, 12 :919-940

[6] SOME NEW 4-MANIFOLDS [J].

CAPPELL, SE ;

SHANESON, JL .

ANNALS OF MATHEMATICS, 1976, 104 (01) :61-72

[7] THERE EXIST INEQUIVALENT KNOTS WITH SAME COMPLEMENT [J].

CAPPELL, SE ;

SHANESON, JL .

ANNALS OF MATHEMATICS, 1976, 103 (02) :349-353

[8] Reverse engineering small 4-manifolds [J].

Fintushel, Ronald ;

Park, B. Doug ;

Stern, Ronald J. .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 :2103-2116

[9] Surgery on nullhomologous tori and simply connected 4-manifolds with b+=1 [J].

Fintushel, Ronald ;

Stern, Ronald J. .

JOURNAL OF TOPOLOGY, 2008, 1 (01) :1-15

[10]

Gompf R., 1999, 4-manifolds and Kirby calculus, V20o

← 1 2 →