New answers tagged sg.symplectic-geometry
8
votes
Theory of $n$-truncated $A_\infty$ categories/functors?
$A_n$-spaces are already discussed in the original paper of Stasheff, Homotopy associativity of H-spaces, I and II.
In the linear setting, $A_n$-algebras are discussed e.g. in A∞-algebras, spectral ...
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0
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Displaceability questions in the symplectic 2-sphere for level sets of a Morse function
Consider the following example: $f: S^2 \to \bf{R}$ for the standard unit sphere and $f$ is the projection to the z-axis.
Prove that for $L_{\pm \lambda} = f^{-1}(\pm \lambda)$ that $L_\lambda = L_{-\...
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1
vote
Quasi-equivalent vs. homotopy equivalent functors in $A_\infty$ categories
Take a formal diffeomorphism of $n$-dimensional affine space, meaning a change of variables given by formal power series $(f_1(x_1,\dots,x_n),\dots,f_n(x_1,\dots,x_n))$ preserving the origin. This ...
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