نتایج جستجو برای: standard homology
تعداد نتایج: 564412 فیلتر نتایج به سال:
We prove that the pair-of-pants product on the Floer homology of the cotangent bundle of a compact manifold M corresponds to the Chas-Sullivan loop product on the singular homology of the loop space of M. We also prove related results concerning the Floer homo-logical interpretation of the Pontrjagin product and of the Serre fibration. The techniques include a Fredholm theory for Cauchy-Riemann...
We prove that the pair-of-pants product on the Floer homology of the cotangent bundle of a compact manifold M corresponds to the Chas-Sullivan loop product on the singular homology of the loop space of M . We also prove related results concerning the Floer homological interpretation of the Pontrjagin product and of the Serre fibration. The techniques include a Fredholm theory for Cauchy-Riemann...
We proved in a previous article that the bar complex of an E∞algebra inherits a natural E∞-algebra structure. As a consequence, a welldefined iterated bar construction Bn(A) can be associated to any algebra over an E∞-operad. In the case of a commutative algebra A, our iterated bar construction reduces to the standard iterated bar complex of A. The first purpose of this paper is to give a direc...
The Registry of Standard Biological Parts imposes sequence constraints to enable DNA assembly using restriction enzymes. Alnahhas et al. (Journal of Biological Engineering 2014, 8:28) recently argued that these constraints should be revised because they impose an unnecessary burden on contributors that use homology-based assembly. To add to this debate, we tested four different homology-based m...
Similar DNA homology values were recorded when a modified S1 nuclease technique and a standard nitrocellulose membrane filter method were applied to representative strains of Rhodococcus. The DNA homology data showed that R. globerulus, R. luteus and R. sputi form distinct genomic species. The congruence between the DNA homology and earlier numerical phenetic data was good, but there was eviden...
A standard combinatorial construction, due to Kontsevich, associates to any A∞-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We describe an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy equivalent algebras give rise to the same cohomology...
Inspired by work of Lipshitz-Sarkar, we show that the module structure on link Floer homology detects split links. Using results Ni, Alishahi-Lipshitz, and establish an analogous detection result for sutured homology.
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