Date: Thu, 31 Aug 2000 15:33:24 -0700 From: Greg Kuperberg Subject: This year's algebraic topology in the mathematics arXiv For some reason math.AT (Algebraic Topology) has picked up a bit in the mathematics arXiv this month. So I am taking the occassion to list the articles in this category since the beginning of the year. Of course many people check regularly, and others subscribe to the regular e-mail announcements. But some find these to be too much of a bother. Of course if you want to check yourself, I recommend the Front: http://front.math.ucdavis.edu/math.AT AT is a popular category for cross-listings, but here I am taking a narrow interpretation and listing only articles primarily listed as math.AT. Personally I am very pleased to see serious-looking articles in the math arXiv in areas that are neither close to physics nor to my own areas. I suppose that I have developed an alliegance to mathematics, because it is much less gratifying for me to see the arXiv spread to new areas of physics, for example. math.AT/0008230 The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group. Alejandro Adem, Jon F. Carlson, Dikran Karagueuzian, R. James Milgram. AT (GR). math.AT/0008229 On the Cohomology of Central Frattini Extensions. Alejandro Adem, Jonathan Pakianathan. AT (GR). math.AT/0008228 Algebraic Poincare cobordism. Andrew Ranicki. 43 pages. AT (GT). math.AT/0008192 The Witten genus and equivariant elliptic cohomology. Matthew Ando, Maria Basterra. AT. math.AT/0008071 An introduction to algebraic surgery. Andrew Ranicki (Edinburgh). 82 pages. AT (GT). math.AT/0008070 A survey of Wall's finiteness obstruction. Steve Ferry (Rutgers) Andrew Ranicki (Edinburgh). 16 pages. AT (GT). math.AT/0007157 Toward a Galoisian interpretation of homotopy theory. B. Toen. 29 pages. AT (AG CT). math.AT/0007070 Universal homotopy theories. Daniel Dugger (Purdue University). AT (CT). math.AT/0007068 Combinatorial model categories have presentations. Daniel Dugger (Purdue University). AT. math.AT/0006147 Generating Functional in CFT on Riemann Surfaces II: Homological Aspects. Ettore Aldrovandi, Leon A. Takhtajan. 53 pages. SISSA 62/2000/FM. AT (MP QA). math.AT/0006085 Topology of billiard problems, II. Michael Farber. 31 pages. AT (DG). math.AT/0005205 Absolute non-Archimedean polyhedral expansions of ultrauniform spaces. S. V. Ludkovsky. 39 pages. AT. math.AT/0005199 Moment-angle complexes and combinatorics of simplicial manifolds. Victor M. Buchstaber, Taras E. Panov. 28 pages. AT (CO DG). math.AT/0005091 Lie algebras associated to fiber-type arrangements. Daniel C. Cohen (LSU), Frederick R. Cohen (Rochester), Miguel Xicotencatl (CINVESTAV). 19 pages. AT (CO AG MP). math.AT/0005079 Classification of equivariant real vector bundles over a circle. Jin-Hwan Cho, Sung Sook Kim, Mikiya Masuda, Dong Youp Suh. 16 pages. KIAS-M00011. AT (KT). math.AT/0004147 A classification of $S^3$-bundles over $S^4$. Diarmuid Crowley, Christine M. Escher. 19 pages. AT (DG). math.AT/0004141 Minimal Models for Non-Free Circle Actions. Agusti Roig, Martintxo Saralegi-Aranguren. AT (DG). math.AT/0004074 Dickson Invariants in the image of the Steenrod Square. Kai Xu. 4 pages. AT. math.AT/0004051 Spectra and symmetric spectra in general model categories. Mark Hovey. 45 pages. AT (KT). math.AT/0004013 On Complexes Equivalent to $\mathbb{S}^3$-bundles over $\mathbb{S}^4$. Nitu Kitchloo, Krishnan Shankar. 12 pages. AT (DG). math.AT/0004003 Operads and algebraic homotopy. Justin R. Smith. AT. math.AT/0003147 Characteristic Classes for GO(2n,C). Yogish I. Holla, Nitin Nitsure. 18 pages. AT. math.AT/0003065 Every homotopy theory of simplicial algebras admits a proper model. Charles Rezk (IAS and Northwestern). AT (CT). math.AT/0002251 Higher homotopy groups of complements of complex hyperplane arrangements. Stefan Papadima, Alexander I. Suciu. 25 pages. AT (AG CO). math.AT/0002172 An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes. V. M. Buchstaber, K. E. Feldman. AT. math.AT/0002130 Ideal Perturbation Lemma. Martin Markl. AT. math.AT/0002045 Higher limits via subgroup complexes. Jesper Grodal. AT (GR). math.AT/0002043 The toric cobordism group. Alexandra Mozgova. 5 pages. AT. math.AT/0002001 Extension dimension and C-spaces. Alex Chigogidze, Vesko Valov. AT. math.AT/0001146 Interchanging homotopy limits and colimits in CAT. Guillermo Cortiņas. 4 pages. Notas de Matem\'atica Universidad de La Plata no. 64. AT (CT). math.AT/0001087 A braided simplicial group. Jie Wu. 21 pages. AT (GR). math.AT/0001056 Failure of Brown representability in derived categories. J. Daniel Christensen, Bernhard Keller, Amnon Neeman. 22 pages. AT (KT RT). -- /\ Greg Kuperberg (UC Davis) / \ \ / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ \/ * All the math that's fit to e-print *