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    Wonder & Warning: The Salve That\u27s Needed to Heal Our Planet

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    Icebergs melting; plastic in the oceans; greenhouse gasses in the atmosphere; deforestation; industrial agriculture; pollution; overfishing. Humans have inhabited Earth for a mere fraction of its existence, comprising less than 1% of its total timeline, yet we are rapidly destroying it. The health of our planet is at a tipping point. Poets have been writing about the disharmony between the environment and humans for hundreds of years. Writers like Nathaniel Hawthorne plead us to change our ways through their haunting and ghastly works, while Jane Hirshfield and others speak through animals to hold us accountable for our faults. However, not all environmental poems are ones of warning. Poets like Wendell Berry remind us to forget the troubles of the world and to appreciate nature, while others like Ada Limón show that there is a light at the end of the dark tunnel. These poems of wonder reflect nature’s beauty. Ecopoetry, no matter the style of writing, conveys the same message: we need to protect our home. Humanity is the force that has wreaked havoc on our precious planet, and we are the only ones who can save it. Each time we compost, or recycle, or choose a green alternative to the more convenient option, we are making small steps towards a brighter future. We must fight for those who cannot fight for themselves: the insects, fish, mammals, reptiles, and the countless organisms that call our beloved planet home

    Separation And Relative Quasiconvexity Criteria For Relatively Geometric Actions

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    Bowditch characterized relative hyperbolicity in terms of group actions on fine hyperbolic graphs with finitely many edge orbits and finite edge stabilizers. In this paper, we define generalized fine actions on hyperbolic graphs, in which the peripheral subgroups are allowed to stabilize finite subgraphs rather than stabilizing a point. Generalized fine actions are useful for studying groups that act relatively geometrically on a CAT(0) cube complex, which were recently defined by the first two authors. Specifically, we show that any group acting relatively geometrically on a CAT(0) cube complex admits a generalized fine action on the one-skeleton of the cube complex. For generalized fine actions, we prove a criterion for relative quasiconvexity of subgroups that cocompactly stabilize quasiconvex subgraphs, generalizing a result of Martínez-Pedroza and Wise in the setting of fine hyperbolic graphs. As an application, we obtain a characterization of boundary separation in generalized fine graphs and use it to prove that Bowditch boundary points in relatively geometric actions are always separated by a hyperplane stabilizer

    A Note On Surfaces in ℂℙ² And ℂℙ²#ℂℙ²

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    In this brief note, we investigate the ℂℙ²-genus of knots, i.e., the least genus of a smooth, compact, orientable surface in ℂℙ² \ \mathringB⁴ bounded by a knot in ³. We show that this quantity is unbounded, unlike its topological counterpart. We also investigate the ℂℙ²-genus of torus knots. We apply these results to improve the minimal genus bound for some homology classes in ℂℙ²#ℂℙ²

    K-Theoretic Gromov–Witten Invariants Of Line Degrees On Flag Varieties

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    A homology class d∈H2(X,Z) of a complex flag variety X=G∕P is called a line degree if the moduli space ¯¯¯¯¯M0,0(X,d) of 0-pointed stable maps to X of degree d is also a flag variety G∕P\u27. We prove a quantum equals classical formula stating that any n-pointed (equivariant, K-theoretic, genus zero) Gromov–Witten invariant of line degree on X is equal to a classical intersection number computed on the flag variety G∕P\u27. We also prove an n-pointed analogue of the Peterson comparison formula stating that these invariants coincide with Gromov–Witten invariants of the variety of complete flags G∕B. Our formulas make it straightforward to compute the big quantum K-theory ring QKbig(X) modulo the ideal ⟨Qd⟩ generated by degrees d larger than line degrees

    An Approach To Path Movement In The Diachronic Study Of Sign Languages: Biomechanics And Nonarbitrariness

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    Sign languages seem not to be amenable to traditional historical reconstruction via the comparative method, making it difficult to replicate the successes achieved in the diachronic study of spoken languages. We propose to alleviate this difficulty with an alternative approach that draws upon nonarbitrariness and biomechanics, especially the drive for reducing articulatory effort. We offer a demonstration of this approach, which can add confirmation to known relationships between sign languages and new evidence in support of suspected relationships, helping to fill in a methodological gap in the diachronic study of sign languages

    A Spirit of Revolution: The Story of Lt. Colonel John Laurens

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    Though he has become a figure all but forgotten or merely glossed over, John Laurens (1754-1782) was the purest form of an early American hero, a pioneer for proto-abolitionism in the South, and a queer historical figure. His complex character and legacy is deserving of recognition and remembering. In this article, I intend to do just that by giving a brief historical summary of his life and person

    Reading Guide

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    This is a tool to support students in generously reading course materials. The guide invites users to read texts generously by first bracketing critique and prioritizing depth of understanding of the arguments articulated in the text as well as the author\u27s background and perspective

    Review Of Friendship: The Future Of An Ancient Gift By C. Baracchi, Translated By E. Bartolini And C. Fullarton

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    How can one understand friendship in an era when someone can have a thousand friends on FaceBook? Baracchi (Università di Milano, Bicocca, Italy) concentrates on how ancient Greeks—mainly but not solely Plato and Aristotle—understood the nature and limits of friendship. Her understanding of Greek thought is impressive. Her linking of friendship and justice in the polis is inventive. Baracchi’s style is postmodern, and the vices and virtues of that style are on display in this book: “The human being is ... grasped in its structural openness, in the infinite and indefinite task of turning toward the good” (p. 41) is genuinely thought-provoking, though one might balk at what it means for a human task to be ‘infinite. On the other hand, from the fact that Socrates addresses “men of the jury” but imagines a possible afterlife in which he can discuss philosophical issues with men and women, Barrachi concludes that Socrates recognizes that patriarchal conventions are limiting, a claim that outruns the evidence for it. Barrachi does nicely dismantle the still-read Nazi political thinker Carl Schmitt, who thought that politics and friendship are necessarily at odds. Those with a fairly good understanding of Plato and Aristotle will find this book a welcome addition to the literature. Summing Up: Recommended. Upper-division undergraduates through faculty

    Berglund–Hübsch Transpose Rule And Sasakian Geometry

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    We apply the Berglund–Hübsch transpose rule from BHK mirror symmetry to show that to an n−1-dimensional Calabi–Yau orbifold in weighted projective space defined by an invertible polynomial, we can associate four (possibly) distinct Sasaki manifolds of dimension 2n+1 which are n−1-connected and admit a metric of positive Ricci curvature. We apply this theorem to show that for a given K3 orbifold, there exist four seven-dimensional Sasakian manifolds of positive Ricci curvature, two of which are actually Sasaki–Einstein

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