Report file quality
upload/newsarch_ebooks_2025_10/2018/12/30/1470428881.pdf
Bordered Heegaard Floer Homology 🔍
Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston American Mathematical Society, Memoirs of the American Mathematical Society 254, 2018
English [en] · PDF · 5.7MB · 2018 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
description
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an ∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the ∞ tensor product of the type D module of one piece and the type A module from the other piece is HFˆ of the glued manifold.
As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for HFˆ. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Alternative filename
nexusstc/Bordered Heegaard Floer Homology/2f7caa2c69115176858ba0b6f5f9fddb.pdf
Alternative filename
lgli/Lipshitz, Ozsvath, Thurston - Bordered Heegaard Floer Homology.pdf
Alternative filename
lgrsnf/Lipshitz, Ozsvath, Thurston - Bordered Heegaard Floer Homology.pdf
Alternative author
Lipshitz, Robert,Ozsvathm Peter S.,Thurston, Dylan P.
Alternative author
Robert Lipshitz, Peter S. Ozsvath, Mariusz Urbanski
Alternative author
Robert Lipshitz; Peter Ozsváth; Dylan P. Thurston
Alternative publisher
Education Development Center, Incorporated
Alternative edition
Memoirs of the American Mathematical Society, 1216, Providence (R.I.), 2018
Alternative edition
Memoirs of the American Mathematical Society, no. 1216, Providence, 2018
Alternative edition
United States, United States of America
metadata comments
0
metadata comments
lg2304591
metadata comments
producers:
Acrobat Distiller Server 8.1.0 (Pentium Linux, Built: 2007-09-07)
metadata comments
{"isbns":["1470428881","9781470428884"],"last_page":294,"publisher":"American Mathematical Society","series":"Memoirs of the American Mathematical Society 254"}
Alternative description
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type $D$) is a module over the algebra and the other of which (type $A$) is an $\mathcal A_\infty$ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the $\mathcal A_\infty$ tensor product of the type $D$ module of one piece and the type $A$ module from the other piece is $\widehat{HF}$ of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for $\widehat{HF}$. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Alternative description
Title Page 2
Copyright 3
Contents 4
Chapter 1. Introduction 10
Chapter 2. A∞ structures 18
Chapter 3. The algebra associated to a pointedmatched circle 38
Chapter 4. Bordered Heegaard diagrams 54
Chapter 5. Moduli spaces 70
Chapter 6. Type D modules 118
Chapter 7. Type A modules 154
Chapter 8. Pairing theoremvia nice diagrams 166
Chapter 9. Pairing theoremvia time dilation 170
Chapter 10. Gradings 198
Chapter 11. Bordered manifolds with torus boundary 214
Appendix A. Bimodules and change of framing 264
Bibliography 278
Index of Definitions 282
date open sourced
2018-12-30
Read more…
Your ad here.

🚀 Fast downloads

Become a member to support the long-term preservation of books, papers, and more. To show our gratitude for your support, you get fast downloads. ❤️

🐢 Slow downloads

From trusted partners. More information in the FAQ. (might require browser verification — unlimited downloads!)

All download options have the same file, and should be safe to use. That said, always be cautious when downloading files from the internet, especially from sites external to Anna’s Archive. For example, be sure to keep your devices updated.
show external downloads
  • For large files, we recommend using a download manager to prevent interruptions.
    Recommended download managers: JDownloader
  • You will need an ebook or PDF reader to open the file, depending on the file format.
    Recommended ebook readers: Anna’s Archive online viewer, ReadEra, and Calibre
  • Use online tools to convert between formats.
    Recommended conversion tools: CloudConvert and PrintFriendly
  • You can send both PDF and EPUB files to your Kindle or Kobo eReader.
    Recommended tools: Amazon‘s “Send to Kindle” and djazz‘s “Send to Kobo/Kindle”
  • Support authors and libraries
    ✍️ If you like this and can afford it, consider buying the original, or supporting the authors directly.
    📚 If this is available at your local library, consider borrowing it for free there.