Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 134697

Hamiltonian systems, symplectic flows, classical integrable systems

1 vote
Accepted

Generic choice of non-degenerate Hamiltonians $H$ in Floer theory

You can find a statement (and proof) of such a theorem in Hofer-Salamon's Floer homology and Novikov rings, where it appears as Theorem $3.1$. They require also that no holomorphic spheres with first …
Dustin Connery-Grigg's user avatar
2 votes

Linearization of the Floer equation

$\mathcal{F}^{H,J}_u$ is exactly the Floer operator (what you have called $\mathcal{F}$ in your post) locally near the cylinder $u$ in $\mathcal{P}^{1,p}(x^-,x^+)$, after we use the underlying metric …
Dustin Connery-Grigg's user avatar
5 votes
Accepted

Choice of a family of almost complex structures when defining Floer Homology

For a lot of things, you can work with a generic time-independent $J_0$ as you suggest; for instance, Audien & Damien work in this context in their book (so for most of the "fundamental" constructions …
Dustin Connery-Grigg's user avatar
1 vote

Symplectic vector fields everywhere transverse to a co-dimension one hypersurface

This is a great question! (Or rather, I quite liked it. Reasonable people can differ on this, I suppose.) In fact, local considerations (or even semi-local considerations like understanding the symple …
Dustin Connery-Grigg's user avatar