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https://hdl.handle.net/2440/112077
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DC Field | Value | Language |
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dc.contributor.author | Forstnerič, F. | - |
dc.contributor.author | Lárusson, F. | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Mathematische Zeitschrift, 2018; 288(1-2):643-663 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.issn | 1432-1823 | - |
dc.identifier.uri | http://hdl.handle.net/2440/112077 | - |
dc.description.abstract | Let M be a connected open Riemann surface. We prove that the space L(M,C2n+1) of all holomorphic Legendrian immersions of M to C2n+1, n≥1, endowed with the standard holomorphic contact structure, is weakly homotopy equivalent to the space C(M,S4n−1) of continuous maps from M to the sphere S4n−1. If M has finite topological type, then these spaces are homotopy equivalent. We determine the homotopy groups of L(M,C2n+1) in terms of the homotopy groups of S4n−1. It follows that L(M,C2n+1) is (4n−3)-connected. | - |
dc.description.statementofresponsibility | Franc Forstnerič, Finnur Lárusson | - |
dc.language.iso | en | - |
dc.publisher | Springer | - |
dc.rights | © Springer-Verlag Berlin Heidelberg 2017 | - |
dc.source.uri | http://dx.doi.org/10.1007/s00209-017-1904-1 | - |
dc.subject | Riemann surface; legendrian curve; Oka principle; absolute neighborhood retract | - |
dc.title | The Oka principle for holomorphic Legendrian curves in C²ⁿ⁺¹ | - |
dc.title.alternative | The Oka principle for holomorphic Legendrian curves in C(2n+1) | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s00209-017-1904-1 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP150103442 | - |
pubs.publication-status | Published | - |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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