Mark W. Johnson

  1. On homotopy invariance for algebras over colored PROPs.

    Authors: Donald Yau, Mark W. Johnson
    Subjects: Algebraic Topology
    Abstract

    Over a monoidal model category, under some mild assumptions, we equip the
    categories of colored PROPs and their algebras with projective model category
    structures. A Boardman-Vogt style homotopy invariance result about algebras
    over cofibrant colored PROPs is proved. As an example, we define homotopy
    topological conformal field theories and observe that such structures are
    homotopy invariant.

  2. On homotopy invariance for algebras over colored PROPs.

    Authors: Donald Yau, Mark W. Johnson
    Subjects: Algebraic Topology
    Abstract

    Over a monoidal model category, under some mild assumptions, we equip the
    categories of colored PROPs and their algebras with projective model category
    structures. A Boardman-Vogt style homotopy invariance result about algebras
    over cofibrant colored PROPs is proved. As an example, we define homotopy
    topological conformal field theories and observe that such structures are
    homotopy invariant.

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