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Applications of topology to study DNA and chromosomes


Our group is interested in applications of knot theory and low-dimensional topology to understand the three dimensional organization of the genome in different organisms. We are also interested in the applications of computational homology to analyze genomic data.

Our current main interests are:

See this Knot Table  for a table of all of the knots with 10 or fewer crossings with specification of the chirality, according to the writhe-guided naming convention proposed in Brasher et al., 2013. Knots in yellow have the same chirality as in Rolfsen’s Knot Table in his book Knots and Links, and those in red have chirality opposite to those of Rolfsen’s.



The honeycomb lattice model


Linking between Partially Overlapping Polygons.




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Simplicial complex associated to an expression profile
Submitted for publication Arsuaga et al.