full screen
Polyfold and Fredholm Theory

Polyfold and Fredholm Theory


     0     
5
4
3
2
1



International Edition


About the Book

Part I Basic Theory in M-Polyfolds.- 1 Sc-Calculus.- 2 Retracts.- 3 Basic Sc-Fredholm Theory.- 4 Manifolds and Strong Retracts.- 5 Fredholm Package for M-Polyfolds.- 6 Orientations.- Part II Ep-Groupoids.- 7 Ep-Groupoids.- 8 Bundles and Covering Functors.- 9 Branched Ep+-Subgroupoids.- 10 Equivalences and Localization.- 11 Geometry up to Equivalences.- Part III Fredholm Theory in Ep-Groupoids.- 12 Sc-Fredholm Sections.- 13 Sc+-Multisections.- 14 Extensions of Sc+-Multisections.- 15 Transversality and Invariants.- 16 Polyfolds.- Part IV Fredholm Theory in Groupoidal Categories.- 17 Polyfold Theory for Categories.- 18 Fredholm Theory in Polyfolds.- 19 General Constructions.- A Construction Cheatsheet.- References.- Index.
About the Author: Helmut Hofer has contributed to nonlinear analysis, the theory of dynamical systems and symplectic geometry and topology. He is one of the founders of symplectic topology and is known for Hofer Geometry, his work on the Arnold conjectures and Weinstein conjecture, and, with various collaborators and co-authors, symplectic capacity theory, symplectic homology, symplectic field theory, finite energy foliations and their applications to dynamical systems, polyfold theory and feral curve theory. He currently holds the Hermann Weyl Professorship at the Institute for Advanced Study in Princeton.

Kris Wysocki has contributed to nonlinear analysis, the theory of dynamical systems and symplectic geometry and topology. He is known as one of the originators of the theory of finite energy foliations and its applications to Hamiltonian dynamics, the compactness result of symplectic field theory, applications of symplectic homology, and polyfold theory. At the time of his passing he was Professor at Pennsylvania State University.

Eduard Zehnder is one of the founders of the field of symplectic topology. Well known are his contributions to Hamiltonian systems close to integrable ones. Jointly with C. Conley, he proved the Arnold Conjecture for symplectic fixed points on tori. This meanwhile classical result, referred to as the Conley-Zehnder Theorem, together with Gromov's pseudoholomorphic curve theory led Zehnder's student Andreas Floer to introduce the seminal concept of Floer Homology. With H. Hofer and K. Wysocki, he worked on global periodic phenomena in Hamiltonian and Reeb dynamics, compactness problems in symplectic field theory and on the theory and applications of polyfolds. He is currently Professor Emeritus at ETH Zurich.


Best Sellers



Product Details
  • ISBN-13: 9783030780067
  • Publisher: Springer International Publishing
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 1001
  • Series Title: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
  • Weight: 1645 gr
  • ISBN-10: 3030780066
  • Publisher Date: 20 Aug 2021
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 52 mm
  • Width: 156 mm


Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Polyfold and Fredholm Theory
Springer International Publishing -
Polyfold and Fredholm Theory
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Polyfold and Fredholm Theory

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Booksbay (the "CRR Service").


    By submitting any content to Booksbay, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Booksbay (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Booksbay a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Booksbay may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Booksbay's sole discretion. Booksbay reserves the right to change, condense, withhold publication, remove or delete any content on Booksbay's website that Booksbay deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Booksbay does not guarantee that you will have any recourse through Booksbay to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Booksbay reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Booksbay, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Booksbay, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals



    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!