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Revision as of 18:43, 19 May 2017 by KatrinWehrheim (Talk | contribs) (Videos of talks on polyfolds)

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Content Ideas

  • links to polyfold talks .. IHES .. IAS
  • annotated list of references
  • space for conference/workshop announcements - such as SFT 9 in Augsburg
  •  ?? rather than Katrin (eventually) whipping up a separate polyfold lab page, maybe make a list of "polyfold people" with pictures and links to their personal websites/papers, space to state research interests ("contact me if ... ") .. include Wysocki memorial
  • Helmut was talking about making his own wiki out of "the book" ... so eventually link there (or have a separate part) ... in any case, we'll need to clearly separate rigorous presentation (parts of the book etc) from Fukaya-category work in progress
  • Fukaya category resources

Testing

Next, when studying differential equations we often work with the following subsets of {\mathcal  {F}}[0,L].

{\mathcal  {C}}[0,L]=\{f\in {\mathcal  {F}}[0,L]\,|\,f\;{\text{continuous}}\} is the set of functions f:[0,L]\to \mathbb{R} that are continuous.

{\mathcal  {C}}^{\infty }[0,L]=\{f\in {\mathcal  {F}}[0,L]\,|\,f\;{\text{smooth}}\} is the set of functions f:[0,L]\to \mathbb{R} that are smooth. That is, all derivatives of f are required to be continuous.


OK, I had to replace all the abbreviations (it doesn't parse \def ) and then replace all $ by < math > when copying from a latex file of mine ... and I doubt it will take definition / theorem / ... environments ... so copying from tex files seems unwise, otherwise happy!

Videos of talks on polyfolds

  • 2015 Summer School on Moduli Problems in Symplectic Geometry playlist [1], in particular series by J.Fish, K.Wehrheim [2], [3], [4],

[5], [6]; discussions with N.Bottman [7], [8]; H.Hofer on construction of SFT polyfolds [9], [10], [11], [12], [13]


  • Introduction to Polyfolds (K.Wehrheim, 2012 at IAS) [14]
  • An M-polyfold relevant to Morse theory (P.Albers, 2012 at IAS) [23]

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