Moduli Space for Invariant Solutions of Seiberg-Witten Equations

Muhiddin Uğuz

Makale detayları

Moduli Space for Invariant Solutions of Seiberg-Witten Equations

Yazarlar:

Muhiddin Uğuz

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Topology

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.8-17

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318109

pISSN:

1306-7575

Anahtar kelimeler:

Özet:

 In this work we study the G-invariant solutions of the Seiberg-Witten equations when G is a cyclic group acting on a manifold M, preserving the metric and the orientation. G is assumed to have a lift to principle Spinc bundle which gives rise to Seiberg-Witten equations in question. In this work, we prove that when the dimension b_G of the G-fixed points of harmonic two forms is positive, for a generic choice of an element in this fixed point set, the moduli space of invariant solutions of Seiberg-Witten equations is a compact, smooth and oriented manifold of dimension dGind D_AG-b_G-1.

 In this work we study the G-invariant solutions of the Seiberg-Witten equations when G is a cyclic group acting on a manifold M, preserving the metric and the orientation. G is assumed to have a lift to principle Spinc bundle which gives rise to Seiberg-Witten equations in question. In this work, we prove that when the dimension b_G of the G-fixed points of harmonic two forms is positive, for a generic choice of an element in this fixed point set, the moduli space of invariant solutions of Seiberg-Witten equations is a compact, smooth and oriented manifold of dimension dGind D_AG-b_G-1.

 In this work we study the G-invariant solutions of the Seiberg-Witten equations when G is a cyclic group acting on a manifold M, preserving the metric and the orientation. G is assumed to have a lift to principle Spinc bundle which gives rise to Seiberg-Witten equations in question. In this work, we prove that when the dimension b_G of the G-fixed points of harmonic two forms is positive, for a generic choice of an element in this fixed point set, the moduli space of invariant solutions of Seiberg-Witten equations is a compact, smooth and oriented manifold of dimension dGind D_AG-b_G-1.

 In this work we study the G-invariant solutions of the Seiberg-Witten equations when G is a cyclic group acting on a manifold M, preserving the metric and the orientation. G is assumed to have a lift to principle Spinc bundle which gives rise to Seiberg-Witten equations in question. In this work, we prove that when the dimension b_G of the G-fixed points of harmonic two forms is positive, for a generic choice of an element in this fixed point set, the moduli space of invariant solutions of Seiberg-Witten equations is a compact, smooth and oriented manifold of dimension dGind D_AG-b_G-1.

Makale detayları

Moduli Space for Invariant Solutions of Seiberg-Witten Equations

Yazarlar:

Muhiddin Uğuz

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Topology

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.8-17

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318109

pISSN:

1306-7575

Gauge Theory

Equivariant Seiberg-Witten theory

Equivariant Seiberg-Witten moduli space.

Sayı

Makale detayları

Moduli Space for Invariant Solutions of Seiberg-Witten Equations

Yazarlar: Muhiddin Uğuz

Yayıncı: Süleyman Demirel University

Ana Başlıklar: Topology

Dergi: Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.8-17

Belge Tipi: Makale

Yayın Tarihi: 5/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001318109

pISSN: 1306-7575

Gauge Theory

Equivariant Seiberg-Witten theory

Equivariant Seiberg-Witten moduli space.

Sayı

Yazarlar:

Muhiddin Uğuz

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Topology

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.8-17

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318109

pISSN:

1306-7575