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Variations on the theme of quantum Lefschetz

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arxiv 1812.01732 v3 pith:JNNRSDNM submitted 2018-12-04 math.AG

Honglu Fan , Yuan-Pin Lee This is my paper · ORCID
classification math.AG
keywords lefschetzquantumrecursionssometherevariationsapparentlyapplications
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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.

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