Descendant invariants and characteristic numbers
Research output: Contribution to journal › Journal article › Research › peer-review
On a stack of stable maps, the cotangent line classes are modified by subtracting certain boundary divisors. These modified cotangent line classes are compatible with forgetful morphisms, and are well-suited to enumerative geometry: tangency conditions allow simple expressions in terms of modified cotangent line classes. Topological recursion relations ate established among their top products in genus 0, yielding effective recursions for characteristic numbers of rational curves in any projective homogeneous variety. In higher genus, the obtained numbers are only virtual, due to contributions from spurious components of the space of maps. For the projective plane, the necessary corrections are determined in genus 1 and 2 to give the characteristic numbers in these cases.
Original language | English |
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Journal | American Journal of Mathematics |
Volume | 124 |
Issue number | 3 |
Pages (from-to) | 611-647 |
Number of pages | 37 |
ISSN | 0002-9327 |
DOIs | |
Publication status | Published - Jun 2002 |
Externally published | Yes |
- GROMOV-WITTEN-INVARIANTS, PLANE-CURVES, ENUMERATIVE GEOMETRY, QUANTUM COHOMOLOGY
Research areas
ID: 331504832