Tangency quantum cohomology
Research output: Contribution to journal › Journal article › Research › peer-review
Let X be a smooth projective variety. Using modified psi classes on the stack of genus-zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon resetting the parameters corresponding to the modified psi classes. For X=P-2, the product is equivalent to that of the contact cohomology of Ernstrom and Kennedy.
Original language | English |
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Journal | Compositio Mathematica |
Volume | 140 |
Issue number | 1 |
Pages (from-to) | 165-178 |
Number of pages | 14 |
ISSN | 0010-437X |
DOIs | |
Publication status | Published - Jan 2004 |
Externally published | Yes |
- quantum cohomology, Gromov-Witten invariants, enumerative geometry, GROMOV-WITTEN-INVARIANTS, CHARACTERISTIC-NUMBERS, GEOMETRY, CONTACT
Research areas
ID: 331503067