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Results tagged with dg.differential-geometry
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user 424
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
6
votes
Perturbation of Morse function
Sure. For any sequence $\epsilon_n\to 0$ a sequence of critical points of $f_n:=f+\epsilon_n \rho Q$ would have a subsequence which converges to a critical point of $f$, so in particular would eventu …
- 2,927
2
votes
Geometric calculations using Grassmann variables
I don't know nearly enough about the subject to give you a particularly intelligent answer, but can tell you that the formalism of Grassmann variables is sometimes used in heat-kernel-based treatments …
- 2,927
22
votes
Accepted
Operations via Morse Theory
Massey products are discussed in Section 1.3 of
Fukaya, Kenji. Morse homotopy,
$A_{\infty}$-category, and Floer
homologies. Proceedings of GARC
Workshop on Geometry and Topology '93
(Seou …
- 2,927
9
votes
Examples of non-Kahler compact symplectic manifolds.
There are lots of simply-connected four-dimensional examples in Gompf's symplectic sum paper paper which are shown to be non-Kahler by virtue of violating the Noether inequality (see Theorem 6.2). Th …
7
votes
Accepted
Minimal genus, adjunction inequality
Regarding Question 2, Corollary 2 of this paper by Li shows that any symplectic four-manifold which contains a smoothly embedded homologically essential sphere with nonnegative intersection is obtaine …
- 2,927