There are no 1000 genomes specific apis or tools. Our data is all in standard formats like SAM and VCF and these do have tools associated with them.

To manipulate SAM/BAM files look at samtools for a C based toolkit and links to apis in other languages.

To interact with VCF files look at vcftools which is a set of perl and c++ code.

We also provide a public mysql instance with copies of the databases behind our Ensembl browser for 1000 genomes data. These databases are described here