Instantons and the Topology of 4-Manifolds
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Auteurs : Ronald J. SternSource :
Abstract
Abstract: Geometric topology is the study of metric spaces which are locally homeomorphic to Euclidean n-space R n ; that is, it studies topological (TOP) n-manifolds. The customary goal is to discover invariants, usually algebraic invariants, which classify all manifolds of a given dimension. This is separated into an existence question—finding an n-manifold with the given invariants—and a uniqueness question—determining how many n-manifolds have the given invariant. As is (and was) quickly discovered, TOP manifolds are too amorphous to study initially, so one adds structure which is compatible with the available topology and which broadens the available tools. Presumably, the richer the structure imposed on a manifold, the fewer objects one is forced to study.
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DOI: 10.1007/978-1-4613-0195-0_30
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Instantons and the Topology of 4-Manifolds</title><author><name sortKey="Stern, Ronald J" sort="Stern, Ronald J" uniqKey="Stern R" first="Ronald J." last="Stern">Ronald J. Stern</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:3A8E8A477CA4FC92C807E854FE2B5DE60D3B1CEA</idno><date when="2001" year="2001">2001</date><idno type="doi">10.1007/978-1-4613-0195-0_30</idno><idno type="url">https://api.istex.fr/document/3A8E8A477CA4FC92C807E854FE2B5DE60D3B1CEA/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000C02</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000C02</idno><idno type="wicri:Area/Istex/Curation">000C02</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Instantons and the Topology of 4-Manifolds</title><author><name sortKey="Stern, Ronald J" sort="Stern, Ronald J" uniqKey="Stern R" first="Ronald J." last="Stern">Ronald J. Stern</name></author></analytic><monogr></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Geometric topology is the study of metric spaces which are locally homeomorphic to Euclidean n-space R n ; that is, it studies topological (TOP) n-manifolds. The customary goal is to discover invariants, usually algebraic invariants, which classify all manifolds of a given dimension. This is separated into an existence question—finding an n-manifold with the given invariants—and a uniqueness question—determining how many n-manifolds have the given invariant. As is (and was) quickly discovered, TOP manifolds are too amorphous to study initially, so one adds structure which is compatible with the available topology and which broadens the available tools. Presumably, the richer the structure imposed on a manifold, the fewer objects one is forced to study.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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