10.9k citations
- TRIUMFCA422 papers
- Duke UniversityUS413 papers
- Stony Brook UniversityUS394 papers
- University of British ColumbiaCA394 papers
- University of TorontoCA376 papers
- University of GlasgowGB375 papers
- The University of TokyoJP373 papers
- Centre National de la Recherche ScientifiqueFR372 papers
- Kobe UniversityJP369 papers
- Kyoto UniversityJP367 papers
- Massachusetts Institute of TechnologyUS367 papers
- University of California, IrvineUS367 papers
21 papers · 1 filter
A stability theorem for bigraded persistence barcodes
Anthony Bahri, Ivan Limonchenko, Taras Panov +2
We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated…
Multiparameter persistence modules in the large scale
Martin Frankland, Donald Stanley
A persistence module with discrete parameters is a diagram of vector spaces indexed by the poset . If we are only interested in the large scale behavior of such a…
Double cohomology of moment-angle complexes
Ivan Limonchenko, Taras Panov, Jongbaek Song +1
We put a cochain complex structure on the cohomology of a moment-angle complex and call the resulting cohomology the double cohomology, ${HH}^…
The homotopy classification of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a -dimensional toric orbifold. If has a non-trivial odd primary torsion, then we show that is homotopy equivalent to the wedge of a Moore space and a CW-…
Realization of graded monomial ideal rings modulo torsion
Tseleung So, Donald Stanley
Let be the quotient of a graded polynomial ring by an ideal generated by monomials with leading coefficients 1. Then we con…
On good morphisms of exact triangles
J. Daniel Christensen, Martin Frankland
In a triangulated category, cofibre fill-ins always exist. Neeman showed that there is always at least one "good" fill-in, i.e., one whose mapping cone is exact. Verdier constructe…