Homologous non-isotopic symplectic surfaces of higher genus

• Autores: Mainak Poddar, Stefano Vidussi, B. Doug Park
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 6, 2007, págs. 2651-2662
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04168-2
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• Resumen

  • We construct an infinite family of homologous, non-isotopic, symplectic surfaces of any genus greater than one in a certain class of closed, simply connected, symplectic four-manifolds. Our construction is the first example of this phenomenon for surfaces of genus greater than one.