elliptic operator

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A key fact related to Elliptic regularity:

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Definition

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Elliptic regularity

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Require \(r=s\) to be elliptic.

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Why elliptic operators are of interest in gauge theory:

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Links to this page

unresolved links output

Elliptic regularity in Archive/0202_Symplectic Seminar Summer 2021/2021-06-23, -Unsorted/elliptic operator
Lagrangian Floer homology

There is no general prediction for \(\operatorname{rank}\operatorname{HF}(L_0, L_1)\) when \(L_0\neq L_1\); its definition involves an elliptic operator corresponding to a PDE one has no expectation of being able to write down explicitly!
Hodge theory

- Tags: - #MOC - Refs: - REU project: http://math.uchicago.edu/~may/REU2018/REUPapers/Sheagren.pdf#page=1 - More detailed notes: https://scholar.harvard.edu/files/pspark/files/harvardminorthesis.pdf#page=3 - Links: - Hodge decomposition - Hodge symmetry - Hodge weight - Hodge filtration - Hodge diamond - elliptic operator - VHS - Unsorted/Hodge-Tate theory - tangent bundle - Sobolev space - examples of computations of Hodge numbers - period

An elliptic operator.
Dolbeaut cohomology

elliptic operator