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Title:           New geometric structures on 3-manifolds: surgery and generalized geometry
Subject:         Advances in Mathematics, 500 (2026) 111062. 10.1016/j.aim.2026.111062
Keywords:        Generalized geometry,3-manifold,Bn-generalized complex structure,Surgery,Cosymplectic,Normal almost contact
Author:          Joan Porti
Creator:         Elsevier
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     Item: 
      Title: New geometric structures on 3-manifolds: surgery and generalized geometry
      Destination: yaima111062.title.0:1
      Children: 
       Item: 
        Title: 1 Introduction
        Destination: yaima111062.section.1:2
       Item: 
        Title: 2 Bn-generalized complex structures
        Destination: yaima111062.section.2:4
        Children: 
         Item: 
          Title: 2.1 Generalized complex geometry through differential forms
          Destination: yaima111062.subsection.1:5
         Item: 
          Title: 2.2 Bn-generalized complex geometry through differential forms
          Destination: yaima111062.subsection.2:8
         Item: 
          Title: 2.3 Symmetries: A and B-fields
          Destination: yaima111062.subsection.3:16
         Item: 
          Title: 2.4 The integrability condition revisited
          Destination: yaima111062.subsection.4:20
         Item: 
          Title: 2.5 Twisted structures
          Destination: yaima111062.subsection.5:23
         Item: 
          Title: 2.6 Stable structures
          Destination: yaima111062.subsection.6:25
         Item: 
          Title: 2.7 The main question
          Destination: yaima111062.subsection.7:28
       Item: 
        Title: 3 Surgeries on a cosymplectic neighbourhood
        Destination: yaima111062.section.3:30
        Children: 
         Item: 
          Title: 3.1 The (p,±1)-surgery
          Destination: yaima111062.subsection.1:31
         Item: 
          Title: 3.2 The twisting
          Destination: yaima111062.subsection.2:33
       Item: 
        Title: 4 First examples
        Destination: yaima111062.section.4:37
       Item: 
        Title: 5 Every closed orientable 3-manifold admits a B3-structure
        Destination: yaima111062.section.5:40
        Children: 
         Item: 
          Title: 5.1 Every closed orientable 3-manifold is obtained via surgery on a mapping torus with a fixed point
          Destination: yaima111062.subsection.1:41
         Item: 
          Title: 5.2 Existence of an invariant area form
          Destination: yaima111062.subsection.2:45
         Item: 
          Title: 5.3 The gluing diffeomorphism can be chosen to be the identity around the fixed point
          Destination: yaima111062.subsection.3:47
         Item: 
          Title: 5.4 Two surgeries to obtain a B3-structure
          Destination: yaima111062.subsection.4:50
       Item: 
        Title: References
        Destination: yaima111062.section.5:52
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    Title: New geometric structures on 3-manifolds: surgery and generalized geometry
    Author: Joan Porti
    Subject: Advances in Mathematics, 500 (2026) 111062. 10.1016/j.aim.2026.111062
    Keywords: Generalized geometry,3-manifold,Bn-generalized complex structure,Surgery,Cosymplectic,Normal almost contact
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