<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "On the enumerative geometry of local curves"^^ . "This thesis studies the Gromov-Witten and stable pair invariants of local\r\ncurves. In particular, we give a closed formula for the full descendent stable\r\npair theory of all (non-relative) local curves in terms of the Bethe roots of\r\nthe quantum intermediate long wave system. In the process, we derive a\r\nnew explicit description of these Bethe roots, which may be of independent\r\ninterest. We further deduce rationality, functional equation and a pole restriction for the descendent stable pair theory of local curves as conjectured\r\nby Pandharipande and Pixton. Furthermore, we show how the Bethe roots\r\ncan be used to diagonalize the descedent invariants of the tube and give\r\nexplicit formulas for the first few descendents. On the Gromov-Witten side,\r\nwe conjecture that the Gromov-Witten theory of the local elliptic curve is\r\ngoverned by quasi-Jacobi forms. Finally, we compute an infinite series of\r\nspecial cases, which provides evidence for our conjecture."^^ . "2025" . . . . . . . "Maximilian"^^ . "Schimpf"^^ . "Maximilian Schimpf"^^ . . . . . . "On the enumerative geometry of local curves (PDF)"^^ . . . "PhDthesis.pdf"^^ . . . "On the enumerative geometry of local curves (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "On the enumerative geometry of local curves (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "On the enumerative geometry of local curves (Other)"^^ . . . . . . "preview.jpg"^^ . . . "On the enumerative geometry of local curves (Other)"^^ . . . . . . "medium.jpg"^^ . . . "On the enumerative geometry of local curves (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #37102 \n\nOn the enumerative geometry of local curves\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .