I will describe a "part" of the standard GW-invariant, which under ideal conditions counts genus-one curves without any genus-zero contribution. In contrast to the standard GW-invariant, the resulting reduced GW-invariant has the expected behavior with respect to certain embeddings. These invariants have applications to computing the standard genus-one GW-invariants of complete intersections as well as some enumerative genus-one invariants of sufficiently positive complete intersections.

Lecture #12365

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