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pro vyhledávání: '"Ailsa Keating"'
Autor:
Ailsa Keating
Publikováno v:
Mathematische Annalen
We present techniques, inspired by monodromy considerations, for constructing compact monotone Lagrangians in certain affine hypersurfaces, chiefly of Brieskorn-Pham type. We focus on dimensions 2 and 3, though the constructions generalise to higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::478bc51981061d4879aa6e4d5843f127
Publikováno v:
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2018, 5, pp.289-316. ⟨10.5802/jep.71⟩
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2018, 5, pp.289-316. ⟨10.5802/jep.71⟩
We construct a symplectic structure on a disc that admits a compactly supported symplectomorphism which is not smoothly isotopic to the identity. The symplectic structure has an overtwisted concave end; the construction of the symplectomorphism is ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90da22e819db38d36125808afa85db8a
Autor:
Ailsa Keating
Publikováno v:
Geometric and Functional Analysis. 25:1822-1901
The Milnor fibre of any isolated hypersurface singularity contains many exact Lagrangian spheres: the vanishing cycles associated to a Morsification of the singularity. Moreover, for simple singularities, it is known that the only possible exact Lagr
Autor:
Ailsa Keating
We study versions of homological mirror symmetry for hypersurface cusp singularities and the three hypersurface simple elliptic singularities. We show that the Milnor fibres of each of these carries a distinguished Lefschetz fibration; its derived di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f4d622fc2a68c4fdbf231a1438f7fc1
https://www.repository.cam.ac.uk/handle/1810/266275
https://www.repository.cam.ac.uk/handle/1810/266275