Timeline for Does anyone know if it's possible to construct Moduli space of J holomorphic curves using Holder spaces?
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| Jul 19, 2022 at 6:45 | history | edited | Yuan Yao | CC BY-SA 4.0 |
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| Oct 10, 2020 at 21:46 | comment | added | Yuan Yao | I know Hutchings & TAubes used Morrey spaces - they used it over the normal bundle where the asymptotic operators are already non degenerate - could they have gotten away with it if they used it over the entire pull back of the tangent bundle $u^*(TX)$ where the asymptotic operators have degeneracies? Alternatively, if the orbits are only Morse-Bott, could they have used Morrey spaces over section of Normal bundle without exponential weights? | |
| Oct 10, 2020 at 15:11 | comment | added | Chris Gerig | Among other things you want some form of the Calderón-Zygmund inequality and also to be able to use the Contraction Mapping Theorem. Morrey spaces were used by Cliff Taubes (and Karen Uhlenbeck and probably others). You'll find these used in most papers of Taubes related to J-holomorphic curves, solving for kernel of the deformation operators $D_u$ (Morrey spaces require particular decay over all small balls in $u$). | |
| Oct 10, 2020 at 5:52 | review | First posts | |||
| Oct 10, 2020 at 9:23 | |||||
| Oct 10, 2020 at 5:49 | history | asked | Yuan Yao | CC BY-SA 4.0 |