The Shift-Dimension of Multipersistence Modules
@inproceedings{Chacholski2021TheSO, title={The Shift-Dimension of Multipersistence Modules}, author={Wojciech Chach'olski and Ren{\'e} Corbet and Anna-Laura Sattelberger}, year={2021} }
We introduce the shift-dimension of multipersistence modules and investigate its algebraic properties. This gives rise to a new invariant of multigraded modules over the multivariate polynomial ring arising from the hierarchical stabilization of the zeroth total multigraded Betti number. We present a fast algorithm for the computation of the shift-dimension of interval modules in the bivariate case. We construct multipersistence contours that are parameterized by multivariate functions and…
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