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A Survey on Mixed Spin P-Fields |
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Citation: |
Huai-Liang CHANG,Jun LI,Wei-Ping LI,Chiu-Chu Melissa LIU.A Survey on Mixed Spin P-Fields[J].Chinese Annals of Mathematics B,2017,38(4):869~882 |
Page view: 3141
Net amount: 1276 |
Authors: |
Huai-Liang CHANG; Jun LI;Wei-Ping LI;Chiu-Chu Melissa LIU |
Foundation: |
This work was supported by Hong Kong General Research
Fund (Nos.600711, 6301515, 602512) and the National Science
Foundation (Nos.NSF-1104553, DMS-1159156, DMS-1206667,
DMS-1159416). |
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Abstract: |
The mixed spin P-fields (MSP for short) theory sets up a geometric platform to relate Gromov-Witten invariants of the quintic three-fold
and Fan-Jarvis-Ruan-Witten invariants of the quintic polynomial in five variables. It starts with Witten’s vision and the P-fields treatment
of GW invariants and FJRW invariants. Then it briefly discusses the master space technique and its application to the set-up of the MSP moduli.
Some key results in MSP theory are explained and some examples are provided. |
Keywords: |
Mixed Spin P-fields, GW invariants, FJRW invariants, P-fields, \& Cosection localization |
Classification: |
14J32, 14J81, 14N35 |
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