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Lecture Notes on Bihamiltonian Structures and Their Central Invariants

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B-Model Gromov-Witten Theory

Part of the book series: Trends in Mathematics ((TM))

Abstract

In these lecture notes, we give an introduction to the classification theorem of semisimple bihamiltonian structures, with as much details as possible. The equivalence classes of this classification problem are characterized by the so-called central invariants. In the last section, two examples are given to illuminate the applications of central invariants in cohomological field theories.

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Notes

  1. 1.

    In this paper, summation over repeated Greek indexes is always assumed, and we don’t sum over Latin indexes.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, People’s Republic of China

    Si-Qi Liu

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  1. Si-Qi Liu
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Correspondence to Si-Qi Liu .

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Editors and Affiliations

  1. San Francisco State University, San Francisco, CA, USA

    Emily Clader

  2. University of Michigan, Ann Arbor, MI, USA

    Yongbin Ruan

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Liu, SQ. (2018). Lecture Notes on Bihamiltonian Structures and Their Central Invariants. In: Clader, E., Ruan, Y. (eds) B-Model Gromov-Witten Theory. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94220-9_7

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