called Φ-invariant if for all x in S and all t in T Φ ( t , x ) ∈ S . {\displaystyle \Phi (t,x)\in S.} Thus, in particular, if S is Φ-invariant, I ( x )...

no. 2, pp. 285–318 (2011). with A. Avila, and J.-C. Yoccoz: "SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are...

measurable with respect to X1,X2,…{\displaystyle X_{1},X_{2},\ldots } and invariant under finite permutations of the indices). Here is a concrete example...

Analele Ştiinţifice ale Universităţii "Al. I. Cuza" din Iaşi, Secţiunea I a Matematică. 11B: 493–496. MR 0202066. Frank Morgan (2012) "Math Finds the Best Doughnut"...

Vol. 246, (Dec., 1978), pp. 261–283. "On the dimension of the compact invariant sets of certain non-linear maps", Springer, Lectures Notes in Mathematics...

and no isolated points). The number of isolated points is a topological invariant, i.e. if two topological spaces X, Y are homeomorphic, the number of isolated...

little-used in the classification of manifolds, because these invariant are homotopy-invariant, and hence don't help with the finer classifications above...

(Donaldson 1990). This was an early application of the Donaldson invariant (or instanton invariants). Any compact symplectic manifold admits a symplectic Lefschetz...

maximal subject to the following properties: H has a simply connected invariant component D A conjugate of an element h of H by a conformal bijection...

this result uses Morera's theorem, which implies that the integral is invariant under homotopy of the curve, so that it can be deformed to a circle and...