Michigan University


There are several possible notions of a "moduli space" of algebraic structures on an object (such as a space or spectrum). These notions are homotopy-theoretic, in that they are homotopy-invariants of the space. We discuss the relationship between these notions and show how they are related to the problem of realizing a given space (or spectrum) with a given algebraic structure (such as an A-infinity or E-infinity structure). Time permitting, we discuss some approaches toward computing these invariants.

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Last modified: September 10, 1996