Ozsváth and Szabó show in [10] that there is a spectral sequence whose E term is g Kh(L), and which converges to d HF (−Σ(L)). We prove that the E term of this spectral sequence is an invariant of the link L for all k ≥ 2. If L is a transverse link in (S, ξstd), then we show that Plamenevskaya’s transverse invariant ψ(L) gives rise to a transverse invariant of L in the E term for each k ≥ 2.

Given a link L ⊂ S 3 , a Seifert surface S for L is a compact, orientable surface with boundary L. The Euler characteristic χ(L) of the link L is dened to be the maximum over all Euler characteristics χ(S) of Seifert surfaces S for L. Seifert surfaces exist for all L, and this denition presents itself with the problem of calculating χ(L). An easily applicable method for producing Seifert surfac...

The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants ∆i(u1, . . . , ud, v), i = 0, 1, . . . , is obtained. When l is a classical link, ∆i reduces to the well-known ith Alexander polynomial of the link in the d variables u1v, . . . , udv; in particular, ∆0 vanishes.

Several authors have recently studied virtual knots and links because they admit invariants arising from R-matrices. We prove that every virtual link is uniquely represented by a link L ⊂ S×I in a thickened, compact, oriented surface S such that the link complement (S × I) \L has no essential vertical cylinder. AMS Classification 57M25; 57M27 57M15

The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants ∆i(u1, . . . , ud, v), i = 0, 1, . . . , is obtained. When l is a classical link, ∆i reduces to the well-known ith Alexander polynomial of the link in the d variables u1v, . . . , udv; in particular, ∆0 vanishes.

is text "abstracts/icde98.txt" postscript is ps "papers/icde98.ps.gz" category "Semistructured Data" category "Programming Languages" g Figure 2: Fragment of data graph for example site 1. // Create Root & Abstracts page and link them 2. CREATE RootPage(), AbstractsPage() 3. LINK RootPage() >”AbstractsPage” >AbstractsPage() 4. 5. // Create a presentation for every publication x 6. WHERE Publica...

Networks can represent a wide range of complex systems, such as social, biological and technological systems. Link prediction is one of the most important problems in network analysis, and has attracted much research interest recently. Many link prediction methods have been proposed to solve this problem with various technics. We can note that clustering information plays an important role in s...

Let G = (V, L) denote a network with nodes V and links L. Each link l ∈ L is associated with a performance metric that varies stochastically according to a distribution with unknown parameter θl. Let P be a given set of candidate probing paths in G. Each path py ∈ P consists of one or more pairwise adjacent links in G. We assume that the monitoring system can inject probes on any selected paths...

While it is known that every closed orientable 3-manifold M contains an arithmetic link L (since the figure-eight knot complement is both arithmetic and universal), Theorem 2 asserts that L can be chosen so that M \ L is homeomorphic to the complement of a link in S3. Recall that a link L in S3 (resp. in M) is hyperbolic if S3 \L (resp. M \L) is homeomorphic to H3/Γ, where H3 is hyperbolic 3-sp...

For the link M of a normal complex surface singularity (X, 0) we ask when a knot K ⊂M exists for which the answer to whether K is the link of the zero set of some analytic germ (X, 0) → (C, 0) affects the analytic structure on (X, 0). We show that if M is an integral homology sphere then such a knot exists if and only if M is not one of the Brieskorn homology spheres M(2, 3, 5), M(2, 3, 7), M(2...