Almost complex structures on connected sums of complex projective spaces

被引：4

|

作者：

Goertsches, Oliver ^{[1
]}

Konstantis, Panagiotis ^{[1
]}

机构：

[1] Philipps Univ Marburg, Fachbereich Math & Informat, Marburg, Germany

来源：

ANNALS OF K-THEORY | 2019年 / 4卷 / 01期

关键词：

almost complex structures; stable almost complex structure; K-theory; Chern classes; connected sum; projective spaces;

D O I：

10.2140/akt.2019.4.139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the m-fold connected sum m#CP2n admits an almost complex structure if and only if m is odd.

引用

收藏

页码：139 / 149

页数：11

相关论文

共 50 条

[1] Almost complex structures on connected sums of almost complex manifolds and complex projective spaces
Yang, Huijun
ARCHIV DER MATHEMATIK, 2019, 113 (05) : 489 - 496
[2] Almost complex structures on connected sums of almost complex manifolds and complex projective spaces
Huijun Yang
Archiv der Mathematik, 2019, 113 : 489 - 496
[3] ALMOST COMPLEX STRUCTURES ON COMPLEX PROJECTIVE SPACES
THOMAS, A
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 193 (JUN) : 123 - 132
[4] Almost complex structures on homotopy complex projective spaces
Mills, Keith
TOPOLOGY AND ITS APPLICATIONS, 2024, 344
[5] ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS
Hrdina, Jaroslav
ARCHIVUM MATHEMATICUM, 2009, 45 (04): : 255 - 264
[6] NON-EXISTENCE OF ALMOST-COMPLEX STRUCTURES ON QUATERNIONIC PROJECTIVE SPACES
MASSEY, WS
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (04) : 1379 - &
[7] Almost complex and complex structures on real projective Stiefel manifolds
Korbaš J.
Sankaran P.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (1) : 5 - 12
[8] ALMOST COMPLEX S1-ACTIONS ON COHOMOLOGY COMPLEX PROJECTIVE SPACES
HATTORI, A
LECTURE NOTES IN MATHEMATICS, 1986, 1217 : 115 - 122
[9] Covariant Poisson structures on complex projective spaces
Sheu, AJL
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2002, 10 (01) : 61 - 78
[10] Loop Products on Connected Sums of Projective Spaces
Hingston, Nancy
CELEBRATION OF THE MATHEMATICAL LEGACY OF RAOUL BOTT, 2010, 50 : 161 - 175

← 1 2 3 4 5 →