Floer homology and its continuity for non-compact Lagrangian submanifolds

Yong-Geun Oh

Makale detayları

Floer homology and its continuity for non-compact Lagrangian submanifolds

Yazarlar:

Yong-Geun Oh

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.103-124

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749118

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

We give a construction of the Floer homology of the pair of   vnon-compact Lagrangian submanifolds, which satisfies natural  continuity property under the Hamiltonian isotopy that moves the  infinity but leaves the intersection set of the pair compact. This  construction uses the concept of Lagrangian cobordism and certain  singular Lagrangian submanifolds. We apply this construction to  conormal bundles (or varieties) in the cotangent bundle, and  relate it to a conjecture made by MacPherson on the intersection  theory of the characteristic Lagrangian cycles associated to the  perverse sheaves constructible to a complex stratification on the  complex algebraic manifold.

 

We give a construction of the Floer homology of the pair of   vnon-compact Lagrangian submanifolds, which satisfies natural  continuity property under the Hamiltonian isotopy that moves the  infinity but leaves the intersection set of the pair compact. This  construction uses the concept of Lagrangian cobordism and certain  singular Lagrangian submanifolds. We apply this construction to  conormal bundles (or varieties) in the cotangent bundle, and  relate it to a conjecture made by MacPherson on the intersection  theory of the characteristic Lagrangian cycles associated to the  perverse sheaves constructible to a complex stratification on the  complex algebraic manifold.

Makale detayları

Floer homology and its continuity for non-compact Lagrangian submanifolds

Yazarlar:

Yong-Geun Oh

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.103-124

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749118

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

25

(2001)

103-124. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.25

iss.1.

Sayı

Makale detayları

Floer homology and its continuity for non-compact Lagrangian submanifolds

Yazarlar: Yong-Geun Oh

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.103-124

Belge Tipi: Makale

Yayın Tarihi: 12/2000

Belge Dili: Türkçe

Document ID (Org No.): 2000749118

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

25

(2001)

103-124. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.25

iss.1.

Sayı

Yazarlar:

Yong-Geun Oh

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2001 Vol.25 Issue 1, pp.103-124

Belge Tipi:

Makale

Yayın Tarihi:

12/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749118

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098