Topological complexity of motion planning and Massey products
classification
🧮 math.AT
math.OC
keywords
complexityfibrationgenusmasseyproductstopologicalboundscup-length
read the original abstract
We employ Massey products to find sharper lower bounds for the Schwarz genus of a fibration than those previously known. In particular we give examples of non-formal spaces $X$ for which the topological complexity $\TC(X)$ (defined to be the genus of the free path fibration on $X$) is greater than the zero-divisors cup-length plus one.
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