The canonical class of a symplectic four manifold

- R.Fintushel-R.Stern:

Makale detayları

The canonical class of a symplectic four manifold

Yazarlar:

- R.Fintushel-R.Stern:

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.137-146

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749124

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this article we present examples of simply connected symplectic  4-manifolds  X whose canonical classes are represented by complicated  disjoint unions of symplectic submanifolds of X:    Theorem. Given finite collections {gi}, {mi},  i=1,...,n, of positive  integers, there is a minimal symplectic simply connected 4-manifold  X whose canonical class is represented by a disjoint union of embedded  symplectic surfaces    K ~ Sg1,1 « ...  « Sg1,m1 « ... « Sgn,1 «... « S{gn,mn}    where Sgi,j is a surface of genus gi. Furthermore,  c12(X) = ch(X) - (2+ b) where b= S{i=1}n mi is the total number of  connected components of the symplectic representative of the canonical  class.

 

In this article we present examples of simply connected symplectic  4-manifolds  X whose canonical classes are represented by complicated  disjoint unions of symplectic submanifolds of X:    Theorem. Given finite collections {gi}, {mi},  i=1,...,n, of positive  integers, there is a minimal symplectic simply connected 4-manifold  X whose canonical class is represented by a disjoint union of embedded  symplectic surfaces    K ~ Sg1,1 « ...  « Sg1,m1 « ... « Sgn,1 «... « S{gn,mn}    where Sgi,j is a surface of genus gi. Furthermore,  c12(X) = ch(X) - (2+ b) where b= S{i=1}n mi is the total number of  connected components of the symplectic representative of the canonical  class.

Makale detayları

The canonical class of a symplectic four manifold

Yazarlar:

- R.Fintushel-R.Stern:

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.137-146

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749124

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

25

(2001)

137-146. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.25

iss.1.

Sayı

Makale detayları

The canonical class of a symplectic four manifold

Yazarlar: - R.Fintushel-R.Stern:

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.137-146

Belge Tipi: Makale

Yayın Tarihi: 12/2000

Belge Dili: Türkçe

Document ID (Org No.): 2000749124

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

25

(2001)

137-146. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.25

iss.1.

Sayı

Yazarlar:

- R.Fintushel-R.Stern:

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.137-146

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749124

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098