scholarly journals Lagrangian cobordism and metric invariants

2019 ◽  
Vol 112 (1) ◽  
pp. 1-45
Author(s):  
Octav Cornea ◽  
Egor Shelukhin
Keyword(s):  
Metric Invariants ◽  
Lagrangian Cobordism

On the cost of generating an equivalence relation

1995 ◽  
Vol 15 (6) ◽  
pp. 1173-1181 ◽  
Author(s):  
Gilbert Levitt
Keyword(s):  
Equivalence Relation ◽  
Metric Invariants ◽  
The Cost

AbstractGiven a measure-preserving equivalence relation R with countable classes, we study relations between the properties of R and metric invariants. We give applications to pseudogroups of measure-preserving homeomorphisms.

scholarly journals Good elements and metric invariants in $B^+ _{dR}$

2003 ◽  
Vol 43 (1) ◽  
pp. 125-137
Author(s):  
Victor Alexandru ◽  
Nicolae Popescu ◽  
Alexandru Zaharescu
Keyword(s):  
Metric Invariants

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 Exact Lagrangian cobordism and pseudo-isotopy

2017 ◽  
Vol 28 (08) ◽  
pp. 1750059 ◽  
Author(s):  
Lara Simone Suárez
Keyword(s):  
Dimension Formula ◽  
Lagrangian Cobordism

We show that under some topological assumptions, an exact Lagrangian cobordism [Formula: see text] of dimension [Formula: see text] is a Lagrangian pseudo-isotopy. This result is a weaker form of a conjecture proposed by Biran and Cornea, which states that any exact Lagrangian cobordism is Hamiltonian isotopic to a Lagrangian suspension.

scholarly journals The minimal length of a Lagrangian cobordism between Legendrians

2016 ◽  
Vol 23 (2) ◽  
pp. 1419-1448 ◽  
Author(s):  
Joshua M. Sabloff ◽  
Lisa Traynor
Keyword(s):  
Minimal Length ◽  
Lagrangian Cobordism

scholarly journals Lagrangian cobordism and Fukaya categories

2014 ◽  
Vol 24 (6) ◽  
pp. 1731-1830 ◽  
Author(s):  
Paul Biran ◽  
Octav Cornea
Keyword(s):  
Fukaya Categories ◽  
Lagrangian Cobordism
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