In this work the authors develop a decomposition theory for subgroups of Out(Fn) which generalizes the decomposition theory for individual elements of Out(Fn) found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.
This paper addresses questions of quasi-isometric rigidity and classification for fundamental groups of finite graphs of groups, under the assumption that the Bass-Serre tree of the graph of groups has finite depth. The main example of a finite depth graph of groups is one whose vertex and edge groups are coarse Poincare duality groups. The main theorem says that, under certain hypotheses, if $\mathcal{G}$ is a finite graph of coarse Poincare duality groups, then any finitely generated group quasi-isometric to the fundamental group of $\mathcal{G}$ is also the fundamental group of a finite graph of coarse Poincare duality groups, and any quasi-isometry between two such groups must coarsely preserve the vertex and edge spaces of their Bass-Serre trees of spaces. Besides some simple normalization hypotheses, the main hypothesis is the ``crossing graph condition'', which is imposed on each vertex group $\mathcal{G}_v$ which is an $n$-dimensional coarse Poincare duality group for which every incident edge group has positive codimension: the crossing graph of $\mathcal{G}_v$ is a graph $\epsilon_v$ that describes the pattern in which the codimension 1 edge groups incident to $\mathcal{G}_v$ are crossed by other edge groups incident to $\mathcal{G}_v$, and the crossing graph condition requires that $\epsilon_v$ be connected or empty.
One February, a group of poets set off on a retreat to New Mexico's Bosque del Apache National Wildlife Refuge. This anthology is a reflection their time together and their kinship with the surroundings.
Robert Frost observed in his wife, Elinor, a desire to live "a life that goes rather poetically." The same could be said of many members of the Frost family, over several generations. In You Come Too, Frost’s granddaughter, Lesley Lee Francis, combines priceless personal memories and rigorous research to create a portrait of Frost and the women, including herself, whose lives he touched. Francis provides a vivid picture of Frost the family man, revealing him to be intensely engaged rather than the aloof artist that is commonly portrayed. She shares with us the devastation Frost and Elinor experienced when faced with tragic illnesses, both physical and mental, and the untimely death of family members. Elinor’s own death added to the poet’s despair and unleashed complex feelings throughout the family. (Francis’s mother would lament the toll taken on Elinor by what she perceived as Frost’s "selfishness" in the life he had chosen.) This is also the story of Lesley Frost, Francis’s remarkable mother, who struggled to emerge from her celebrated father’s shadow, while, as one of the people closest to him, sharing his intuitive impulse to write and to indulge their mutual love of books and poetry. Francis would herself become yet another writer and, like her grandfather and mother before her, a teacher--despite sharing Frost’s sense of being "imperfectly academic." In addition, Francis explores Frost’s professional relationships with women outside the family, such as the poets Harriet Monroe, Amy Lowell, and Susan Hayes Ward. Francis’s invaluable insights into Frost’s poetry and her inclusion of previously unpublished family writings and photographs make this book essential to Frost scholarship. But You Come Too will appeal to anyone interested in this great poet’s life and work. It also reveals unforgettable stories of strong, independent women and their passion to create and share poetry.
This definitive history of American xenophobia is "essential reading for anyone who wants to build a more inclusive society" (Ibram X. Kendi, New York Times-bestselling author of How to Be an Antiracist). The United States is known as a nation of immigrants. But it is also a nation of xenophobia. In America for Americans, Erika Lee shows that an irrational fear, hatred, and hostility toward immigrants has been a defining feature of our nation from the colonial era to the Trump era. Benjamin Franklin ridiculed Germans for their "strange and foreign ways." Americans' anxiety over Irish Catholics turned xenophobia into a national political movement. Chinese immigrants were excluded, Japanese incarcerated, and Mexicans deported. Today, Americans fear Muslims, Latinos, and the so-called browning of America. Forcing us to confront this history, Lee explains how xenophobia works, why it has endured, and how it threatens America. Now updated with an epilogue reflecting on how the coronavirus pandemic turbocharged xenophobia, America for Americans is an urgent spur to action for any concerned citizen.
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