A Survey on Mixed Spin P-Fields

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
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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).
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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