Research output: Contribution to journal › Article

Tolga Etgu, Yanki Lekili

Original language | English |
---|---|

Pages (from-to) | 777-813 |

Number of pages | 37 |

Journal | Quantum Topology |

Volume | 10 |

Issue number | 4 |

Early online date | 2 Feb 2019 |

DOIs | |

Accepted/In press | 2 Feb 2019 |

E-pub ahead of print | 2 Feb 2019 |

Additional links |

**Fukaya categories of plumbings_ETGU_Accepted2february2019_GREEN AAM**dPPA.pdf, 442 KB, application/pdf

Uploaded date:06 Jun 2019

Version:Accepted author manuscript

Given an arbitrary graph г and non-negative integers g
_{v} for each vertex v of г, let X
_{г} be the Weinstein 4-manifold obtained by plumbing copies of T
^{*}Σ
_{v} according to this graph, where Σ
_{v} is a surface of genus g
_{v}. We compute the wrapped Fukaya category of X
_{г} (with bulk parameters) using Legendrian surgery extending our previous work [14] where it was assumed that g
_{v} = 0 for all v and г was a tree. The resulting algebra is recognized as the (derived) multiplicative preprojective algebra (and its higher genus version) defined by Crawley-Boevey and Shaw [8]. Along the way, we find a smaller model for the internal DG-algebra of Ekholm and Ng [12] associated to 1-handles in the Legendrian surgery presentation of Weinstein 4-manifolds which might be of independent interest.

No data available

King's College London - Homepage

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454