hanajiakong/sseqcpp

This is a cross platform C++ project to compute and maintain spectral sequences based on sqlite3 databases and the algorithms on Groebner basis.

SSeqCpp

This is a cross platform C++ project to compute and maintain spectral sequences based on sqlite3 databases and algorithms on Groebner basis.

Adams

This is the project that computes free resolutions over the Steenrod algebra. Compile this project and you can find the executable file Adams in the build/bin folder.

./Adams res S0 100

This computes a minimal resolution of F2 over the mod 2 Steenrod algebra up to total degree of 100. It outputs a database file S0_Adams_res.db.

You can stop the program anytime and it can resume later from where it was stopped.

This computation takes 7 seconds on my AMD Ryzen 9 3900X CPU.

./Adams prod S0 100

This computes some chain maps in order to obtain the products in the cohomology of the Steenrod algebra up to total degree of 100. S0_Adams_res.db is the input file and it outputs another database file S0_Adams_res_prod.db.

You can stop the program anytime and it can resume later from where it was stopped.

This computation takes 16 seconds on my AMD Ryzen 9 3900X CPU.

./Adams export S0 100

This generates the cohomology of the Steenrod algebra up to total degree of 100 according to the input file S0_Adams_res_prod.db. It outputs another database file S0_AdamsSS.db.

This computation takes 0.1 seconds on my AMD Ryzen 9 3900X CPU.

Implementation limits of the program

• The maximum Adams filtration is $s_{max}=2^{12}-1=4095$.
• The maximum degree of the Steenrod algebra is $n_{max}=383$.
• The maximum dimension of a free module over the Steenrod algebra is $dim_{max}=2^{19}=524288$