Geometry & Topology Monographs Z 2 {systolic-freedom
نویسنده
چکیده
We give the rst example of systolic freedom over torsion coefcients. The phenomenon is a bit unexpected (contrary to a conjecture of Gromov’s) and more delicate than systolic freedom over the integers. Dedicated to Rob Kirby, a lover of Mathematics and other wild places. Thank you for your inspiration. AMS Classi cation 53C22
منابع مشابه
Local calibration of mass and systolic geometry
We prove the simultaneous (k, n − k)-systolic freedom, for a pair of adjacent integers k < n2 , of a simply connected n-manifold X . Our construction, related to recent results of I. Babenko, is concentrated in a neighborhood of suitable k-dimensional submanifolds of X . We employ calibration by differential forms supported in such neighborhoods, to provide lower bounds for the (n− k)-systoles....
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We give the first example of systolic freedom over torsion coefficients. The phenomenon is a bit unexpected (contrary to a conjecture of Gromov’s) and more delicate than systolic freedom over the integers. Dedicated to Rob Kirby, a lover of Mathematics and other wild places. Thank you for your inspiration. AMS Classification 53C22
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