scholarly journals The relative Gromov width of Lagrangian cobordisms between Legendrians

2020 ◽  
Vol 18 (1) ◽  
pp. 217-250
Author(s):  
Joshua M. Sabloff ◽  
Lisa Traynor
Keyword(s):  
Lagrangian Cobordisms ◽  
Gromov Width

scholarly journals Some remarks on the Gromov width of homogeneous Hodge manifolds

2014 ◽  
Vol 11 (09) ◽  
pp. 1460029 ◽  
Author(s):  
Andrea Loi ◽  
Roberto Mossa ◽  
Fabio Zuddas
Keyword(s):  
Line Bundle ◽  
Upper Bound ◽  
Ample Line Bundle ◽  
Seshadri Constant ◽  
Gromov Width

We provide an upper bound for the Gromov width of compact homogeneous Hodge manifolds (M, ω) with b2(M) = 1. As an application we obtain an upper bound on the Seshadri constant ϵ(L) where L is the ample line bundle on M such that [Formula: see text].

scholarly journals Legendrian knots and exact Lagrangian cobordisms

2016 ◽  
Vol 18 (11) ◽  
pp. 2627-2689 ◽  
Author(s):  
Tobias Ekholm ◽  
Ko Honda ◽  
Tamás Kálmán
Keyword(s):  
Legendrian Knots ◽  
Lagrangian Cobordisms

scholarly journals The Gromov Width of Generalized Bott Manifolds

2019 ◽  
Author(s):  
Taekgyu Hwang ◽  
Eunjeong Lee ◽  
Dong Youp Suh
Keyword(s):  
Gromov Width

scholarly journals In simply connected cotangent bundles, exact Lagrangian cobordisms are h-cobordisms

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Hiro Lee Tanaka
Keyword(s):  
Connected Manifold ◽  
Cotangent Bundles ◽  
Lagrangian Cobordisms ◽  
Simply Connected ◽  
Lagrangian Cobordism

Abstract Let Q be a simply connected manifold. We show that every exact Lagrangian cobordism between compact, exact Lagrangians in T*Q is an h-cobordism. This is a corollary of the Abouzaid–Kragh Theorem.

scholarly journals Invariants of Lagrangian cobordisms via spectral numbers

2019 ◽  
Vol 11 (01) ◽  
pp. 205-231 ◽  
Author(s):  
Mads R. Bisgaard
Keyword(s):  
Spectral Invariants ◽  
Lagrangian Cobordisms ◽  
Lagrangian Cobordism

We extend parts of the Lagrangian spectral invariants package recently developed by Leclercq and Zapolsky to the theory of Lagrangian cobordism developed by Biran and Cornea. This yields a nondegenerate Lagrangian “spectral metric” which bounds the Lagrangian “cobordism metric” (recently introduced by Cornea and Shelukhin) from below. It also yields a new numerical Lagrangian cobordism invariant as well as new ways of computing certain asymptotic Lagrangian spectral invariants explicitly.

scholarly journals Floer theory for Lagrangian cobordisms

2020 ◽  
Vol 114 (3) ◽  
pp. 393-465
Author(s):  
Baptiste Chantraine ◽  
Georgios Dimitroglou Rizell ◽  
Paolo Ghiggini ◽  
Roman Golovko
Keyword(s):  
Floer Theory ◽  
Lagrangian Cobordisms
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