Global ETD Search

1	A Mirror Theorem for Toric Stack Bundles You, Fenglong 31 October 2017 (has links) No description available. Mathematics
2	Symplectic topology, mirror symmetry and integrable systems. Rossi, Paolo 21 October 2008 (has links) (PDF) Using Sympelctic Field Theory as a computational tool, we compute Gromov-Witten theory of target curves using gluing formulas and quantum integrable systems. In the smooth case this leads to a relation of the results of Okounkov and Pandharipande with the quantum dispersionless KdV hierarchy, while in the orbifold case we prove triple mirror symmetry between GW theory of target P^1 orbifolds of positive Euler characteristic, singularity theory of a class of polynomials in three variables and extended affine Weyl groups of type ADE. Gromov-Witten theory Symplectic Field Theory Integrable Systems
3	A Quantum Lefschetz Theorem without Convexity Wang, Jun 01 October 2020 (has links) No description available. Mathematics Gromov-Witten theory quantum Lefschetz theorem convexity toric stack quasimap theory Wall-crossing root stack moduli space mirror theorem
4	QUANTUM COHOMOLOGY OF TORIC BUNDLES / トーリック束の量子コホモロジー Koto, Yuki 25 March 2024 (has links) 京都大学 / 新制・課程博士 / 博士(理学) / 甲第25088号 / 理博第4995号 / 新制\|\|理\|\|1713(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授入谷寛, 教授塚本真輝, 教授吉川謙一 / 学位規則第4条第1項該当 / Doctor of Agricultural Science / Kyoto University / DGAM Gromov-Witten theory quantum cohomology toric bundle Givental cone analytic quantum D-module mirror theorem virtual localization formula 400
5	Cremona Symmetry in Gromov-Witten Theory / Cremona Symmetry in Gromov-Witten Theory Gholampour, Amin, Karp, Dagan, Payne, Sam 25 September 2017 (has links) We establish the existence of a symmetry within the Gromov-Witten theory of CPn and its blowup along points. The nature of this symmetry is encoded in the Cremona transform and its resolution, which lives on the toric variety of the permutohedron. This symmetry expresses some difficult to compute invariants in terms of others less difficult to compute. We focus on enumerative implications; in particular this technique yields a one line proof of the uniqueness of the rational normal curve. Our method involves a study of the toric geometry of the permutohedron, and degeneration of Gromov-Witten invariants. / En este trabajo establecemos la existencia de una simetra en el marco de la teora de Gromov-Witten para CPn y su explosion a lo largo de puntos. La naturaleza de esta simetra queda codicada en la transformacion de Cremona y su resolucion en una variedad torica del permutoedro. Esta simetra expresa algunos invariantes difciles de calcular junto con otros que no lo son tanto. Nos centramos en implicaciones enumerativas; en particular esta tecnica ofrece una prueba enuna lnea de la unicidad de la curva racional normal. Nuestro metodo involucra un estudio de la geometra torica del permutoedro, as como el de la degeneracion de los invariantes de Gromov-Witten. Gromov-Witten Theory Enumerative Geometry Stationary Invariants Cremona Transform Projective Space Permutohedron Permutohedral Toric Variety Losev-Manin Space Msc(2010): 14n35 14e05 14m25 Teoría de Gromov-Witten Geometría Enumerativa Invariantes Estacionarios Transformación de Cremona Espacio Proyectivo Permutoedro Variadad Tórica Permutoedral Espacio de Losev-Manin Msc(2010): 14n35 14e05 14m25

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