chern -- compute the Chern classes of a quasitoric manifold

Usage:

chern(M)
Inputs:
- M, a quasitoric manifold,
Outputs:
- a list,

Description

Compute the Chern classes of a quasitoric manifold. The output is a list of elements in the cohomology ring of M.

i1 : X = complexProjectiveSpace 3

o1 = QuasiToricManifold{QTMCharacteristicMatrix => | 1 0 0 -1 |                      }
                                                   | 0 1 0 -1 |
                                                   | 0 0 1 -1 |
                        QTMDimension => 6
                        QTMSimplicialComplex => simplicialComplex | bcd acd abd abc |

o1 : QuasiToricManifold

i2 : chern X

               2    3
o2 = {1, 4d, 6d , 4d }

o2 : List

Ways to use chern:

chern(QuasiToricManifold)
chern(AbstractSheaf) -- compute the total Chern class of a sheaf
chern(ZZ,AbstractSheaf) -- compute a Chern class of a sheaf
chern(ZZ,ChernClassVariableTable) -- get value of a Chern class variable
chern(CoherentSheaf) -- see chern(ZZ,CoherentSheaf) -- compute the Chern class of a coherent sheaf
chern(ZZ,CoherentSheaf) -- compute the Chern class of a coherent sheaf
chern(ZZ,Symbol) -- make a Chern class symbol
chern(ZZ,ZZ,AbstractSheaf) -- compute several Chern classes of an abstract sheaf
chern(ZZ,ZZ,CoherentSheaf) (missing documentation)

For the programmer

The object chern is a method function.

The source of this document is in /build/reproducible-path/macaulay2-1.26.06+ds/M2/Macaulay2/packages/ToricTopology/Documentation.m2:310:0.

chern -- compute the Chern classes of a quasitoric manifold

Description

See also

Ways to use chern:

For the programmer