In this paper, the authors study further properties and applications of weighted homology persistent homology. The Mayer-Vietoris sequence generalized Bockstein spectral for are introduced. For applications, show an algorithm to construct a filtration simplicial complexes from network. They also prove theorem calculate mod p2 provided with some information on p

We show that a spectral sequence developed by Lipshitz and Treumann, for application to Heegaard Floer theory, converges localized form of topological Hochschild homology with coefficients. This allows us the target this can be identified when is torsion-free as module over $\mathrm{THH}_*(\mathbb{F}_2)$, parallel results Mathew on degeneration Hodge-to-de Rham sequence. To carry out, we apply ...

We use Dowlin's spectral sequence from Khovanov homology to knot Floer prove that reduced with rational coefficients detects the figure-eight knot.

The genomic and cDNA clones encoding cellobiohydrolase II (CBHII) have been isolated and sequenced from a native Iranian isolate of Trichoderma parceramosum, a high cellulolytic enzymes producer isolate. This represents the first report of cbhII gene from this organism. Comparison of genomic and cDNA sequences indicates this gene contains three short introns and also an open reading frame codin...