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pro vyhledávání: '"Klaus Mohnke"'
We present a simple proof of the surface classification theorem using normal curves. This proof is analogous to Kneser's and Milnor's proof of the existence and uniqueness of the prime decomposition of 3-manifolds. In particular, we do not need any i
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5927281b7d2bce1d81268f9565c7c746
Autor:
Kai Cieliebak, Klaus Mohnke
Publikováno v:
Inventiones mathematicae. 212:213-295
We use a neck stretching argument for holomorphic curves to produce symplectic disks of small area and Maslov class with boundary on Lagrangian submanifolds of nonpositive curvature. Applications include the proof of Audin's conjecture on the Maslov
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ff8936303d81968a36791456d87508f
https://doi.org/10.1007/s00222-017-0767-8
https://doi.org/10.1007/s00222-017-0767-8
Autor:
Klaus Mohnke
Publikováno v:
Differential Geometry and its Applications. 10(1):27-42
A filling by holomorphic dics of the levels of a Morse function on a hypersurface in C2 near the critical point is constructed. On the critical level it is similar to a filling by Bishop's families. It is the uniform limit of such families filling th
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d644a2ff564acd975060285090347c78
Autor:
Klaus Mohnke
Publikováno v:
Banach Center Publications. 39:89-104
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23bb8668d596a7b9e44c73e34eb5092e
https://doi.org/10.4064/-39-1-89-104
https://doi.org/10.4064/-39-1-89-104
Autor:
Kai Cieliebak, Klaus Mohnke
Publikováno v:
J. Symplectic Geom. 5, no. 3 (2007), 281-356
We use Donaldson hypersurfaces to construct pseudo-cycles which define Gromov-Witten invariants for any symplectic manifold which agree with the invariants in the cases where transversality could be achieved by perturbing the almost complex structure
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a017e934d56f0545e24a0aab4d1be661
Autor:
Kai Cieliebak, Klaus Mohnke
Publikováno v:
J. Symplectic Geom. 3, no. 4 (2005), 589-654
Bourgeois, Eliashberg, Hofer, Wysocki and Zehnder recently proved a general compactness result for moduli spaces of punctured holomorphic curves arising in symplectic field theory. In this paper we present an alternative proof of this result. The mai
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http://projecteuclid.org/euclid.jsg/1154467631
http://projecteuclid.org/euclid.jsg/1154467631
Autor:
Klaus Mohnke, Frédéric Bourgeois
Publikováno v:
Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, 2004, 248 (1), pp.123-146. ⟨10.1007/s00209-004-0656-x⟩
Mathematische Zeitschrift, Springer, 2004, 248 (1), pp.123-146. ⟨10.1007/s00209-004-0656-x⟩
We study the coherent orientations of the moduli spaces of holomorphic curves in Symplectic Field Theory, generalizing a construction due to Floer and Hofer. In particular we examine their behavior at multiple closed Reeb orbits under change of the a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe33cce969b3356c1727c102964e60db
http://arxiv.org/abs/math/0102095
http://arxiv.org/abs/math/0102095
Autor:
Klaus Mohnke
We use an estimate on the Thurston--Bennequin invariant of a Legendrian link in terms of its Kauffman-polynomial to show that links of topological unknots, e.g. the Borromean rings or the Whithead link, may not be represented by Legendrian links of L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54883ffa46a45a8f617c96a31fe91477