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arXiv · 1909.01222

Loop Homology of Bi-secondary Structures II

Andrei C. Bura·Qijun He·Christian M. Reidys
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Abstract

In this paper we further describe the features of the topological space $K(R)$ obtained from the loop nerve of $R$, for $R=(S,T)$ a bi-secondary structure. We will first identify certain distinct combinatorial structures in the arc diagram of $R$ which we will call crossing components. The main theorem of this paper shows that the total number of these crossing components equals the rank of $H_2(R)$, the second homology group of the loop nerve.

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Andrei C. Bura, Qijun He, Christian M. Reidys. 2019-09-03. Loop Homology of Bi-secondary Structures II. https://arxiv.org/abs/1909.01222

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