52,087 research outputs found

    The Big Lie in Human Embryology: The Case of the Preembryo

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    In Defense of Human Development

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    A Commentary on the Beginning of Life: A View From Human Embryology

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    The Media and Human Embryology

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    The American Association of Anatomists and Stem Cell Research

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    When Does Human Life Begin?: The Final Answer

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    Maurer-Cartan Elements and Cyclic Operads

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    First we argue that many BV and homotopy BV structures, including both familiar and new examples, arise from a common underlying construction. The input of this construction is a cyclic operad along with a cyclically invariant Maurer-Cartan element in an associated Lie algebra. Using this result we introduce and study the operad of cyclically invariant operations, with instances arising in cyclic cohomology and S1S^1 equivariant homology. We compute the homology of the cyclically invariant operations; the result being the homology operad of M0,n+1\mathcal{M}_{0,n+1}, the uncompactified moduli spaces of punctured Riemann spheres, which we call the gravity operad after Getzler. Motivated by the line of inquiry of Deligne's conjecture we construct `cyclic brace operations' inducing the gravity relations up-to-homotopy on the cochain level. Motivated by string topology, we show such a gravity-BV pair is related by a long exact sequence. Examples and implications are discussed in course.Comment: revised version to appear in the Journal of Noncommutative Geometr
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