Smooth, nonsymplectic embeddings of rational balls in the complex projective plane
| Autor: | Brendan Owens |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Geometric Topology (math.GT) Homology (mathematics) 01 natural sciences Mathematics::Geometric Topology Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics 57R40 57M12 57M25 Embedding 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry Mathematics Complex projective plane |
| ISSN: | 0033-5606 |
| DOI: | 10.48550/arxiv.1906.05913 |
| Popis: | We exhibit an infinite family of rational homology balls which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruction from Donaldson's diagonalisation theorem, and use this to show that no two of our examples may be embedded disjointly. Comment: 12 pages, 3 figures. Final version, accepted for publication in Q. J. Math |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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