Multiplicity of Closed Reeb Orbits on Prequantization Bundles

We establish multiplicity results for geometrically distinct contractible closed Reeb orbits of non-degenerate contact forms on a broad class of prequantization bundles. The results hold under certain index requirements on the contact form and are sharp for unit cotangent bundles of CROSS's. In particular, we generalize and put in the symplectic-topological context a theorem of Duan, Liu, Long, and Wang for the standard contact sphere. We also prove similar results for non-hyperbolic contractible closed orbits and briefly touch upon the multiplicity problem for degenerate forms. On the combinatorial side of the question, we revisit and reprove the enhanced common jump theorem of Duan, Long and Wang, and interpret it as an index recurrence result.Comment: 31 page

Comments on 4-point functions in the CFT/AdS correspondence

We study the four--point function of chiral primaries corresponding to the dilaton--axion sector in supergravity in the $AdS_5$/CFT$_4$ correspondence. We find relations between some of the supergravity graphs and compute their leading singularities. We discuss the issue of logarithmic singularities and their significance for the OPE structure of the CFT.Comment: Latex, 12 pages, Some typos correcte

Intersectionality, Race-Gender Subordination, and Education

In this chapter, we unpack intersectionality as an analytical framework. First, we cite Black Lives Matter as an impetus for discussing intersectionality’s current traction. Second, we review the genealogy of “intersectionality” beginning with Kimberlé Crenshaw’s formulation, which brought a Black Studies provocation into legal discourse in order to challenge existing antidiscrimination doctrine and single-axis theorizing. The third, and most central, task of the chapter is our account of intersectionality’s utility for social analysis. We examine some of the issues raised by the metaphor of the intersection and some of the debates surrounding the concept, such as the tension between fragmenting and universalizing perspectives mediated by the notion of “strategic essentialism.” Fourth, we review how education researchers have explained race and gender subordination in education since Ladson-Billings and Tate’s Teachers College Record article. We conclude with some remarks concerning future research on intersectionality

Non(anti)commutative gauge theories in harmonic superspace

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