BiCoCalculator is aimed at computing and displaying invariants of bigraded complexes, in particular from complex nilmanifolds. Its main goals are the computation of:

  • Anti-Dolbeault, Bott-Chern and Aeppli cohomologies
  • Zigzags and squares decomposition

Select one of the provided examples or the option to enter your own nilmanifold:

This work was funded by the Spanish State Research Agency (EUR2023-143450), developed by David Martínez Carpena as a frontend and visualization of BiCo, a Sage script for Computing Invariants of Bigraded Complexes developed by Roger Garrido Vilallave.

Logo of Ministerio de Ciencia, Innovación y Universidades and Agencia Estatal de Investigación

Edit the complex nilmanifold

Start by choosing a nilmanifold from the provided examples or entering your own by selection one of the options on the left.