Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Symplectic sum"'
Publikováno v:
Advances in Mathematics. 339:672-748
We introduce topological notions of normal crossings symplectic divisor and variety and establish that they are equivalent, in a suitable sense, to the desired geometric notions. Our proposed concept of equivalence of associated topological and geome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ad57c424b6f6794a62fb865f5545357
https://doi.org/10.1016/j.aim.2018.09.035
https://doi.org/10.1016/j.aim.2018.09.035
Autor:
Ui Ri Mun
Publikováno v:
Differential Geometry and its Applications. 78:101799
The symplectic sum is employed to construct stable generalized complex 6-manifolds. We show that there exist a myriad of stable generalized complex 6-manifolds which have either 0 or negative Euler characteristic and contain a type change locus in wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e8d07d8babb3c9fa3d4b35bf8f3d772
https://doi.org/10.1016/j.difgeo.2021.101799
https://doi.org/10.1016/j.difgeo.2021.101799
Akademický článek
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Akademický článek
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Publikováno v:
International Journal of Mathematics. 31:2050032
We describe the extent to which Ionel–Parker’s proposed refinement of the standard relative Gromov–Witten invariants (GW-invariants) sharpens the usual symplectic sum formula. The key product operation on the target spaces for the refined invar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fa8ce93f05e89e1723e621bcd5ea76c
https://doi.org/10.1142/s0129167x20500329
https://doi.org/10.1142/s0129167x20500329
Autor:
Eleny-Nicoleta Ionel
Publikováno v:
Advances in Mathematics. 281:40-141
In this paper we introduce a notion of symplectic normal crossing divisor V and define the GW invariant of a symplectic manifold X relative to such a divisor. Our definition includes normal crossing divisors from algebraic geometry. The invariants we
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https://explore.openaire.eu/search/publication?articleId=doi_________::677e7cb99bf8a9d789646eacafd38afd
https://doi.org/10.1016/j.aim.2015.04.027
https://doi.org/10.1016/j.aim.2015.04.027
Akademický článek
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Autor:
Josef G. Dorfmeister
Publikováno v:
Geometriae Dedicata. 177:1-25
In this note we discuss the effect of the symplectic sum along spheres in symplectic four-manifolds on the Kodaira dimension of the underlying symplectic manifold. We find that the Kodaira dimension is non-decreasing. Moreover, we are able to obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82efe3481afdba74f1148e565a98cfc5
https://doi.org/10.1007/s10711-014-9974-2
https://doi.org/10.1007/s10711-014-9974-2
Autor:
Kadriye Nur Saglam, Anar Akhmedov
In [2], the first author constructed the first known examples of exotic minimal symplectic $\CP#5\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\CP#7\CPb$. The construction in [2] uses Y. Matsumoto's genus two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c62d17c3d0b9ae00c696eeb2d89aea13
https://hdl.handle.net/10919/101733
https://hdl.handle.net/10919/101733
Autor:
Michael Usher
Publikováno v:
Transactions of the American Mathematical Society. 364:5913-5943
We exhibit many examples of closed symplectic manifolds on which there is an autonomous Hamiltonian whose associated flow has no nonconstant periodic orbits (the only previous explicit example in the literature was the torus T 2 n T^{2n} ( n ≥ 2 n\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a27a0e81b7d649448b0be84c21272b49
https://doi.org/10.1090/s0002-9947-2012-05623-6
https://doi.org/10.1090/s0002-9947-2012-05623-6