Includes bibliographical references.

An invitation to toric topology: vertex four of a remarkable tetrahedron ; Cohomological aspects of torus actions ; A counterexample to a conjecture of Bosio and Meersseman ; Symplectic quasistates and semisimplicity of quantum homology ; Miraculous cancellation and Pick's theorem ; Freeness of equivariant cohomology and mutants of compactified representations ; Weighted hyperprojective spaces and homotopy invariance in orbifold cohomology ; Homotopy theory and the complement of a coordinate subspace arrangement ; The quantization of a toric manifold is given by the integer lattice points in the moment polytope ; Invariance property of orbifold elliptic genus for multifans ; Act globally, compute locally: group actions, fixed points, and localization ; Tropical toric geometry ; The symplectic volume and intersection pairings of the moduli spaces of spatial polygons ; Logarithmic functional and reciprocity laws ; Orbifold cohomology reloaded ; The geometry of toric hyperkahler varieties ; Graphs of 2torus actions ; Classification problems of toric manifolds via topology ; The quasi O ypes of certain toric manifolds ; Categorical aspects of toric topology ; A survey of hypertoric geometry and topology ; On asymptotic partition functions for root systems ; Torus actions of complexity one ; Permutation actions on equivariant cohomology of flag varieties ; heory of torus manifolds ; On liftings of local torus actions to fiber bundles Victor M Buchstaber and Nigel Ray ; Christopher Allday ; David Allen and Jose La Luz ; Michael Entov and Leonid Polterovich ; K E Feldman ; Matthias Franz and Volker Puppe ; Rebecca Goldin ; Jelena Grbic ; Mark D Hamilton ; Akio Hattori ; Tara S Holm ; Takeshi Kajiwara ; Yasuhiko Kamiyama ; Askold Khovanskii ; Takashi Kimura ; Hiroshi Konno ; Zhi Lu ; Mikiya Masuda and Dong Youp Suh ; Yasuzo Nishimura ; Taras E Panov and Nigel Ray ; Nicholas J Proudfoot ; Tatsuru Takakura ; Dmitri Timashev ; Julianna S Tymoczko ; V Uma ; Takahiko Yoshida