Advances in Mathematics Edited by Michael J. Hopkins, Johan de Jong, Tomasz S. Mrowka, and Gang Tian Massachusetts Institute of Technology, U.S.A. Advances in Mathematics Elsevier Editorial Office 525 B Street, Suite 1900 San Diego, CA 92101-4495, USA E-mail: [email protected] Telephone: (619) 699-6241 Fax: (619) 699-6801 Editorial Board Alexandra Bellow Northwestern University Evanston, IL 60201, U.S.A. David J. Benson Department of Mathematics University of Georgia Athens, GA 30602, U.S.A. Sara C. Billey Department of Mathematics University of Washington Seattle, WA 98195-4350, U.S.A. Anders Björner Kung. Tekniska Högskolan S-10044 Stockholm, Sweden Raoul Bott Harvard University Cambridge, MA 02138, U.S.A. Felix Browder Hill Center, Bush Campus Rutgers University New Brunswick, NJ 08903, U.S.A. Luis Caffarelli RLM 8.100 University of Texas at Austin Austin, TX 78712, U.S.A. S. S. Chern University of California, Berkeley Berkeley, CA 94720, U.S.A. Alain Connes Institut Hautes Etudes Sciences 35, Rue de Chartres 91440 Bûres-sur-Yvette, France Andreas Dress Postfach 8640 Universität Bielefeld D-4800 Bielefeld 1, Germany Pavel Etingof Massachusetts Institute of Technology Cambridge, MA 02139-4307, U.S.A. Charles Fefferman Princeton University Princeton, NJ 08544, U.S.A. Daniel S. Freed University of Texas at Austin Austin, TX 78712, U.S.A. Adriano Garsia University of California, San Diego La Jolla, CA 92037, U.S.A. I. M. Gelfand Rutgers University New Brunswick, NJ 08903, U.S.A. Melvin Hochster University of Michigan Ann Arbor, MI 48109, U.S.A. Mark Hovey Wesleyan University Middletown, CT 06459, U.S.A. Vaughan Jones University of California, Berkeley Berkeley, CA 94720, U.S.A. André Joyal Université du Québec à Montréal CP 8888, Succursale “A” Montréal, P.Q., Canada H3C 3P8 Ludmil Katzarkov University of California, Irvine Irvine, CA 92697, U.S.A. Takahiro Kawai Research Institute for Mathematical Sciences Kyoto University Kitashirakawa, Sakyo-ku Kyoto 60601 Japan H. Jerome Keisler University of Wisconsin Madison, WI 53706-1388, U.S.A.
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Advances in Mathematics
Edited by
Michael J. Hopkins, Johan de Jong, Tomasz S. Mrowka, and Gang TianMassachusetts Institute of Technology, U.S.A.
Advances in MathematicsElsevier Editorial Office525 B Street, Suite 1900San Diego, CA 92101-4495, USAE-mail: [email protected]: (619) 699-6241Fax: (619) 699-6801
Editorial BoardAlexandra Bellow
Northwestern UniversityEvanston, IL 60201, U.S.A.
David J. BensonDepartment of MathematicsUniversity of GeorgiaAthens, GA 30602, U.S.A.
Sara C. BilleyDepartment of MathematicsUniversity of WashingtonSeattle, WA 98195-4350, U.S.A.
Anders BjörnerKung. Tekniska HögskolanS-10044 Stockholm, Sweden
Raoul BottHarvard UniversityCambridge, MA 02138, U.S.A.
Felix BrowderHill Center, Bush CampusRutgers UniversityNew Brunswick, NJ 08903, U.S.A.
Luis CaffarelliRLM 8.100University of Texas at AustinAustin, TX 78712, U.S.A.
S. S. ChernUniversity of California, BerkeleyBerkeley, CA 94720, U.S.A.
Alain ConnesInstitut Hautes Etudes Sciences35, Rue de Chartres91440 Bûres-sur-Yvette, France
Andreas DressPostfach 8640Universität BielefeldD-4800 Bielefeld 1, Germany
Pavel EtingofMassachusetts Institute of TechnologyCambridge, MA 02139-4307, U.S.A.
Charles FeffermanPrinceton UniversityPrinceton, NJ 08544, U.S.A.
Daniel S. FreedUniversity of Texas at AustinAustin, TX 78712, U.S.A.
Adriano GarsiaUniversity of California, San DiegoLa Jolla, CA 92037, U.S.A.
I. M. GelfandRutgers UniversityNew Brunswick, NJ 08903, U.S.A.
Melvin HochsterUniversity of MichiganAnn Arbor, MI 48109, U.S.A.
Mark HoveyWesleyan UniversityMiddletown, CT 06459, U.S.A.
Vaughan JonesUniversity of California, BerkeleyBerkeley, CA 94720, U.S.A.
André JoyalUniversité du Québec à MontréalCP 8888, Succursale “A”Montréal, P.Q., Canada H3C 3P8
Ludmil KatzarkovUniversity of California, IrvineIrvine, CA 92697, U.S.A.
Takahiro KawaiResearch Institute for Mathematical SciencesKyoto UniversityKitashirakawa, Sakyo-ku Kyoto 60601Japan
H. Jerome KeislerUniversity of WisconsinMadison, WI 53706-1388, U.S.A.
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