On symplectic cobordisms

2002 ◽  
Vol 323 (1) ◽  
pp. 31-39 ◽  
Author(s):  
John B. Etnyre ◽  
Ko Honda
Keyword(s):  
Symplectic Cobordisms

On the Buchstaber Subring in MSp∗

1998 ◽  
Vol 5 (5) ◽  
pp. 401-414
Author(s):  
M. Bakuradze
Keyword(s):  
Tensor Product ◽  
Characteristic Classes ◽  
Generalized Quaternion ◽  
Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

scholarly journals Four-dimensional symplectic cobordisms containing three-handles

2006 ◽  
Vol 10 (3) ◽  
pp. 1749-1759 ◽  
Author(s):  
David T Gay
Keyword(s):  
Symplectic Cobordisms

scholarly journals Open books and exact symplectic cobordisms

2018 ◽  
Vol 29 (04) ◽  
pp. 1850026 ◽  
Author(s):  
Mirko Klukas
Keyword(s):  
Disjoint Union ◽  
Contact Manifold ◽  
Higher Dimensions ◽  
Fiber Bundles ◽  
Open Book ◽  
Contact Manifolds ◽  
Open Books ◽  
Symplectic Cobordism ◽  
The Given ◽  
Symplectic Cobordisms

Given two open books with equal pages, we show the existence of an exact symplectic cobordism whose negative end equals the disjoint union of the contact manifolds associated to the given open books, and whose positive end induces the contact manifold associated to the open book with the same page and concatenated monodromy. Using similar methods, we show the existence of strong fillings for contact manifolds associated with doubled open books, a certain class of fiber bundles over the circle obtained by performing the binding sum of two open books with equal pages and inverse monodromies. From this we conclude, following an outline by Wendl, that the complement of the binding of an open book cannot contain any local filling obstruction. Given a contact [Formula: see text]-manifold, according to Eliashberg there is a symplectic cobordism to a fibration over the circle with symplectic fibers. We extend this result to higher dimensions recovering a recent result by Dörner–Geiges–Zehmisch. Our cobordisms can also be thought of as the result of the attachment of a generalized symplectic [Formula: see text]-handle.

ON SYMPLECTIC COBORDISMS

1970 ◽  
Vol 12 (1) ◽  
pp. 77-89 ◽  
Author(s):  
V R Kireĭtov
Keyword(s):  
Symplectic Cobordisms

scholarly journals SFT COMPUTATIONS AND INTERSECTION THEORY IN HIGHER-DIMENSIONAL CONTACT MANIFOLDS

2021 ◽  
pp. 1-52
Author(s):  
Agustin Moreno
Keyword(s):  
Field Theory ◽  
Intersection Theory ◽  
Holomorphic Curves ◽  
Perturbation Scheme ◽  
Contact Manifolds ◽  
Higher Dimensional ◽  
Symplectic Field Theory ◽  
Phd Thesis ◽  
Symplectic Cobordisms

Abstract I construct infinitely many nondiffeomorphic examples of $5$ -dimensional contact manifolds which are tight, admit no strong fillings and do not have Giroux torsion. I obtain obstruction results for symplectic cobordisms, for which I give a proof not relying on the polyfold abstract perturbation scheme for Symplectic Field Theory (SFT). These results are part of my PhD thesis [23], and are the first applications of higher-dimensional Siefring intersection theory for holomorphic curves and hypersurfaces, as outlined in [23, 24], as a prequel to [30].

scholarly journals Orbifold adjunction formula and symplectic cobordisms between lens spaces

2004 ◽  
Vol 8 (2) ◽  
pp. 701-734 ◽  
Author(s):  
Weimin Chen
Keyword(s):  
Lens Spaces ◽  
Adjunction Formula ◽  
Symplectic Cobordisms

scholarly journals Non-exact symplectic cobordisms between contact 3-manifolds

2013 ◽  
Vol 95 (1) ◽  
pp. 121-182 ◽  
Author(s):  
Chris Wendl
Keyword(s):  
Symplectic Cobordisms

scholarly journals Quantization of Symplectic Cobordisms

1999 ◽  
Vol 6 (1) ◽  
pp. 119-129
Author(s):  
Levente Korpás ◽  
Alejandro Uribe
Keyword(s):  
Symplectic Cobordisms

scholarly journals Naturality of the contact invariant in monopole Floer homology under strong symplectic cobordisms

2020 ◽  
Vol 20 (4) ◽  
pp. 1795-1875
Author(s):  
Mariano Echeverria
Keyword(s):  
Floer Homology ◽  
Symplectic Cobordisms
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