THE FOAM AND THE MATRIX FACTORIZATION sl3 LINK HOMOLOGIES ARE EQUIVALENT
نویسنده
چکیده
We prove that the universal rational sl3 link homologies which were constructed in [3, 7], using foams, and in [4], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces.
منابع مشابه
Foam Application in Fractured Carbonate Reservoirs: A Simulation Study
Fractured carbonate reservoirs account for 25% of world’s total oil resources and for 90% of Iranian oil reserves. Since calcite and dolomite minerals are oil wet, gas oil gravity drainage (GOGD) is known as the most influencing production mechanism. The most important issue within gas injection into fractured media is the channeling problem which makes the efficiency of gas injection process e...
متن کاملElectro-Thermo-Mechanical Vibration Analysis of a Foam-Core Smart Composite Cylindrical Shell Containing Fluid
In this study, free vibration of a foam-core orthotropic smart composite cylindrical shell (SCCS) filled with a non-viscous compressible fluid, subjected to combined electro-thermo-mechanical loads is investigated. Piezoelectric polymeric cylindrical shell, is made from polyvinylidene fluoride (PVDF) and reinforced by armchair double walled boron nitride nanotubes (DWBNNTs). Characteristics of...
متن کاملA computation in Khovanov-Rozansky Homology
We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a “local” algorithm for computing Khovanov-Rozansky homology and compare our results with those for the “foam” version of sl3-homology.
متن کاملEffects of Nanoclay on Cellular Morphology and Water Absorption Capacity of Poly(vinyl alcohol) Foam
The present work was aimed to examine the effects of incorporation of each of two different types of nanoclay, i.e. Cloisite Na+ and Cloisite 30B, into PVA foam on cellular morphology and water absorption capacity. Foam samples containing 0.0-10.0 wt% of each of the two types of nanoclay alone were prepared using mechanical foaming. Accordingly, PVA/organoclay/water suspensions were prepare...
متن کاملsl3-Foams and the Khovanov-Lauda categorification of quantum slk.
sl 3-Foams and the Khovanov-Lauda categorification of quantum sl k. Abstract In this paper I define certain interesting 2-functors from the Khovanov-Lauda 2-category which categorifies quantum sl k , for any k > 1, to a 2-category of universal sl 3 foams with corners. For want of a better name I use the term foamation to indicate those 2-functors. I conjecture the existence of similar 2-functor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007