arXiv Open Access 2001

The gluing construction for normally generic J-holomorphic curves

Jean-Claude Sikorav

Lihat Sumber

Abstrak

Under an assumption of normal genericity, we show that a stable J-holomorphic curve has, in the space of homologous curves of the same genus, a locally Euclidean neighbourhood of the expected dimension given by Riemann-Roch. In dimension 4, the normal genericity condition is satisfied in by every curve in CP2 (for an almost complex structure homotopic with the standard one) which has only nodes as singularities. This leads in particular to a solution of the symplectic isotopy problem for surfaces of degree 3.

Topik & Kata Kunci

math.SG math.CV

Penulis (1)

Jean-Claude Sikorav

Format Sitasi

APA MLA BibTeX

Sikorav, J. (2001). The gluing construction for normally generic J-holomorphic curves. https://arxiv.org/abs/math/0102004

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓