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Mathematics > Algebraic Geometry

arXiv:1812.01732 (math)
[Submitted on 4 Dec 2018 (v1), last revised 14 Apr 2019 (this version, v3)]

Title:Variations on the theme of quantum Lefschetz

Authors:Honglu Fan, Yuan-Pin Lee
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Abstract:In this companion piece to 1712.03573, some variations on the main results there are sketched. In particular, the recursions in 1712.03573, which we interpreted as the quantum Lefschetz, is reformulated in terms of Givental's quantization formalism, or equivalently, a summation of finitely many graphs. Meanwhile, varieties of modification of the auxilliary spaces (masterspaces) for the fixed point localization are given, leading to different (looking) recursions. There are also some applications of this circle of ideas to derive (apparently) new relations of Gromov--Witten invariants.
Comments: References updated. 10 pages
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14N35
Cite as: arXiv:1812.01732 [math.AG]
  (or arXiv:1812.01732v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.01732

Submission history

From: Honglu Fan [view email]
[v1] Tue, 4 Dec 2018 22:45:21 UTC (19 KB)
[v2] Sun, 24 Mar 2019 18:48:15 UTC (20 KB)
[v3] Sun, 14 Apr 2019 17:17:35 UTC (20 KB)
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