5,531 research outputs found

    Hopf Algebras and Invariants of the Johnson Cokernel

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    We show that if H is a cocommutative Hopf algebra, then there is a natural action of Aut(F_n) on the nth tensor power of H which induces an Out(F_n) action on a quotient \overline{H^{\otimes n}}. In the case when H=T(V) is the tensor algebra, we show that the invariant Tr^C of the cokernel of the Johnson homomorphism studied in [J. Conant, The Johnson cokernel and the Enomoto-Satoh invariant, Algebraic and Geometric Topology, 15 (2015), no. 2, 801--821.] projects to take values in the top dimensional cohomology of Out(F_n) with coefficients in \overline{H^{\otimes n}}. We analyze the n=2 case, getting large families of obstructions generalizing the abelianization obstructions of [J. Conant, M. Kassabov, K. Vogtmann, Higher hairy graph homology, Journal of Topology, Geom. Dedicata 176 (2015), 345--374.]

    Consumer Credit in America: Past, Present, and Future

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    In September 2016, in conjunction with Law & Contemporary Problems at Duke University School of Law, we organized a symposium on Consumer Credit in America. We sought to assess the state of consumer credit in America — to review and examine its recent history, to consider arguments for and against regulation, and to discuss the potential for future innovation. This is the introduction to the volume of articles coming out of that symposium

    Letter to Timothy Coggins regarding SWALL Archives, October 10, 1990

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    A letter from Jim Martin to Timothy Coggins asking for information on SEAALL archival policies and procedures to assist with SWALL

    Journaling as a Spiritual Discipline

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    The Secret Baptism of Abraham Lincoln

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    Martin, Jim (1996) The Secret Baptism of Abraham Lincoln, Restoration Quarterly: Vol. 38 : No. 2. This repository hosts selected Restoration Quarterly articles in downloadable PDF format. For the benefit of users who would like to browse the contents of RQ, we have included all issue covers even when full-text articles from that issue are unavailable. All Restoration Quarterly articles are available in full text in the ATLA Religion Database, available through most university and theological libraries or through your local library’s inter-library loan service

    A Lutheran Ethic of Environmental Stewardship

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