arXiv
Open Access
2024
Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants
Haochen Qiu
Abstrak
We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena.
Topik & Kata Kunci
Penulis (1)
H
Haochen Qiu
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
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