Cobordism-valued intersection theory on $\overline{\mathcal{M}}_{0,n}$

We calculate the genus zero cobordism-valued Gromov-Witten invariants of a point by refining the string equation on ${\overline{M}}_{0, n}$ from the Chow ring to algebraic cobordism. This gives inductive formulas for cobordism-valued psi-class intersections on ${\overline{M}}_{0, n}$ , and in particular the cobordism classes $[{\overline{M}}_{0, n}]$ , and for their images in $K$ -theory. Explicit formulas are given up to $n = 8$ .

Cobordism-valued intersection theory on ${\overline{M}}_{0, n}$

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Cobordism-valued intersection theory on ${\overline{M}}_{0, n}$

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Cobordism-valued intersection theory on M‾0,nM0,n​

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Cobordism-valued intersection theory on M‾0,nM0,n​

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Cobordism-valued intersection theory on ${\overline{M}}_{0, n}$

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Cobordism-valued intersection theory on ${\overline{M}}_{0, n}$

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AI智能校验