Asymptotic behaviour of holomorphic strips

By Joel W. Robbin, Dietmar Salamon. 2001

67 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e675bdb8d9e92946a792274b6a5bacb1c2645056

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

LAGRANGIAN INTERSECTIONS AND THE SERRE SPECTRAL SEQUENCE (2004, background): “It is J-holomorphic in the exterior of ∪A (ρi/2+1) i and, because of the exponential decay [25] of u∞ near each xi, there are non negative constants A and λ such that”
Floer Homology and the Heat Flow (2003, background): “The exponential decay estimates in the standard Floer theory (eg [20, 22]) carry over to the parabolic case.”
Floer cohomology and pencils of quadrics (2010, unknown): “Then by doubling u to a map defined on C, and considering Taylor coefficients, there is some δ > 0, a ∈ Rn and a unique integer m ∈ Z≥0 for which ‖u(z)− za‖ ≤ z for sufficiently small |z|, see for instance [79].”
On the wrapped Fukaya category and based loops (2009, background): “morphic disc by arc length. Indeed, it follows from elliptic regularity that each solution to (2.20) restricts on the appropriate boundary component to a smooth map from R to Q, and from Theorem A of [18], that its derivatives decay exponentially in the C1topology at the ends. In particular, the arc”
Knot contact homology (2011, background): “(see [14, Section 6], and Robbin and Salamon [31]), where .”
Fukaya A∞-structures Associated to Lefschetz Fibrations. II (2014, background): “completion of (4.39) is an elliptic operator Dv : E1 v → E0v, whose index can be computed as in (4.36) (from which it follows by a deformation argument). Results of [2], as applied to this problem in [27], show that the limiting behaviour of solutions of DvY = 0 remains the same as in (4.37) [27, Le”
Fukaya A∞-structures associated to Lefschetz fibrations. I (2009, background): “Results of [2], as applied to this problem in [27], show that the limiting behaviour of solutions of DvY = 0 remains the same as in (4.”