منابع مشابه
Lecture notes on embedded contact homology
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering together many basic notions which are scattered across a number of papers. We also discuss the origins of ECH, including various remarks and examples which have not been previously published. Finally, we review the recent application to four-dimensional symplectic embedding problems. This a...
متن کاملKnot Contact Homology
The conormal lift of a linkK in R is a Legendrian submanifold ΛK in the unit cotangent bundle U R of R with contact structure equal to the kernel of the Liouville form. Knot contact homology, a topological link invariant of K, is defined as the Legendrian homology of ΛK , the homology of a differential graded algebra generated by Reeb chords whose differential counts holomorphic disks in the sy...
متن کاملFramed Knot Contact Homology
We extend knot contact homology to a theory over the ring Z[λ±1, μ±1], with the invariant given topologically and combinatorially. The improved invariant, which is defined for framed knots in S and can be generalized to knots in arbitrary manifolds, distinguishes the unknot and can distinguish mutants. It contains the Alexander polynomial and naturally produces a two-variable polynomial knot in...
متن کاملContact Homology of Good Toric Contact Manifolds
In this paper we show that any good toric contact manifold has well defined cylindrical contact homology and describe how it can be combinatorially computed from the associated moment cone. As an application we compute the cylindrical contact homology of a particularly nice family of examples that appear in the work of Gauntlett-Martelli-SparksWaldram on Sasaki-Einstein metrics. We show in part...
متن کاملa study on rate making and required reserves determination in reinsurance market: a simulation
reinsurance is widely recognized as an important instrument in the capital management of an insurance company as well as its risk management tool. this thesis is intended to determine premium rates for different types of reinsurance policies. also, given the fact that the reinsurance coverage of every company depends upon its reserves, so different types of reserves and the method of their calc...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2015
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2015.15.623