1,139 research outputs found
Quantum Lefschetz Hyperplane Theorem
The mirror theorem is generalized to any smooth projective variety X. That
is, a fundamental relation between the Gromov-Witten invariants of X and
Gromov-Witten invariants of complete intersections Y in X is established
The Log Product Formula in quantum -theory
We prove a formula expressing the -theoretic log Gromov-Witten invariants
of a product of log smooth varieties in terms of the invariants of
and . The proof requires introducing log virtual fundamental classes in
-theory and verifying their various functorial properties. We introduce a
log version of -theory and prove the formula there as well.Comment: 21 pages, comments welcome! v2: 27 pages, example added
distinguishing log Gysin map from ordinary on
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