Non-isotopic symplectic tori in the same homology class

Autor:	Tolga Etgü, B. Doug Park
Rok vydání:	2003
Předmět:	Combinatorics Discrete mathematics Applied Mathematics General Mathematics Cellular homology Elliptic surface Homology (mathematics) Symplectic representation Symplectomorphism Moment map Mathematics Symplectic geometry Symplectic manifold
Zdroj:	Transactions of the American Mathematical Society. 356:3739-3750
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-03-03529-3
Popis:	For any pair of integers n ≥ 1 n\geq 1 and q ≥ 2 q\geq 2 , we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class q [ F ] q[F] of an elliptic surface E ( n ) E(n) , where [ F ] [F] is the homology class of the fiber. We also show how such families can be non-isotopically and symplectically embedded into a more general class of symplectic 4 4 -manifolds.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1054e76ff52067127d67df80eac6bd3d https://doi.org/10.1090/s0002-9947-03-03529-3 Zobrazit plný text záznamu