 K-theory of the mapping torus of the factor swap on two complex projective planes

ID: k-theory-of-the-mapping-torus-of-the-factor-swap-on-two-complex-projective-planes

For the factor swap on

CP^{2} \times CP^{2}

, the invariant subgroup of

Z [x, y] / (x^{3}, y^{3})

1, x y, x^{2} y^{2}, x + y, x^{2} + y^{2}, x y^{2} + x^{2} y

. Hence the mapping torus has

K^{0} ≅ Z^{6}

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