Periodic twisted cohomology and T-duality
Astérisque, no. 337 (2011) , 140 p.
@book{AST_2011__337__R1_0,
     author = {Bunke, Ulrich and Schick, Thomas and Spitzweck, Markus},
     title = {Periodic twisted cohomology and $T$-duality},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {337},
     year = {2011},
     mrnumber = {2797285},
     zbl = {1245.55004},
     language = {en},
     url = {http://www.numdam.org/item/AST_2011__337__R1_0/}
}
TY  - BOOK
AU  - Bunke, Ulrich
AU  - Schick, Thomas
AU  - Spitzweck, Markus
TI  - Periodic twisted cohomology and $T$-duality
T3  - Astérisque
PY  - 2011
IS  - 337
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_2011__337__R1_0/
LA  - en
ID  - AST_2011__337__R1_0
ER  - 
%0 Book
%A Bunke, Ulrich
%A Schick, Thomas
%A Spitzweck, Markus
%T Periodic twisted cohomology and $T$-duality
%S Astérisque
%D 2011
%N 337
%I Société mathématique de France
%U http://www.numdam.org/item/AST_2011__337__R1_0/
%G en
%F AST_2011__337__R1_0
Bunke, Ulrich; Schick, Thomas; Spitzweck, Markus. Periodic twisted cohomology and $T$-duality. Astérisque, no. 337 (2011), 140 p. http://numdam.org/item/AST_2011__337__R1_0/

[1] M. Atiyah & G. Segal - "Twisted K -theory", Ukr. Mat. Visn. 1 (2004), p. 287-330. | MR | Zbl

[2] T. Beke - "Sheafifiable homotopy model categories", Math. Proc. Cambridge Philos. Soc. 129 (2000), p. 447-475. | MR | Zbl | DOI

[3] P. Bouwknegt, A. L. Carey, V. Mathai, M. K. Murray & D. Stevenson - "Twisted K -theory and K -theory of bundle gerbes", Comm. Math. Phys. 228 (2002), p. 17-45. | MR | Zbl | DOI

[4] P. Bouwknegt, J. Evslin & V. Mathai - " T -duality: topology change from H -flux", Comm. Math. Phys. 249 (2004), p. 383-415. | MR | Zbl | DOI

[5] G. E. Bredon - Sheaf theory, second ed., Graduate Texts in Math., vol. 170, Springer, 1997. | MR | Zbl | DOI

[6] U. Bunke, P. Rumpf & T. Schick - "The topology of T -duality for T n -bundles", Rev. Math. Phys. 18 (2006), p. 1103-1154. | MR | Zbl | DOI

[7] U. Bunke & T. Schick - "On the topology of T -duality", Rev. Math. Phys. 17 (2005), p. 77-112. | MR | Zbl | DOI

[8] U. Bunke & T. Schick, " T -duality for non-free circle actions", in Analysis, geometry and topology of elliptic operators, World Sci. Publ., Hackensack, NJ, 2006, p. 429-466. | MR | Zbl | DOI

[9] U. Bunke, T. Schick & M. Spitzweck - "Sheaf theory for stacks in manifolds and twisted cohomology for S 1 -gerbes", Algebr. Geom. Topol. 7 (2007), p. 1007-1062. | MR | Zbl | DOI

[10] U. Bunke, T. Schick & M. Spitzweck, "Inertia and delocalized twisted cohomology", Homology, Homotopy Appl. 10 (2008), p. 129-180. | MR | Zbl | DOI

[11] U. Bunke, T. Schick, M. Spitzweck & A. Thom - "Duality for topological abelian group stacks and T-duality", in K -theory and noncommutative geometry, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich. 2008, p. 227-347. | MR | Zbl | DOI

[12] B. Conrad - Grothendieck duality and base change, Lecture Notes in Math., vol. 1750, Springer, 2000. | MR | Zbl

[13] P. Deligne - "Cohomologie à supports propres", in Théorie des topos et cohomologie étale des schémas. Tome 3 (M. Artin, A. Grothendieck & J.-L. Verdier, eds.), Lecture Notes in Math., vol. 305, Springer, 1973, Séminaire de Géométrie Algébrique du Bois-Marie 1963-1964 (SGA4), p. 250-480. | Zbl | DOI

[14] J. Heinloth - "Notes on differentiable stacks", in Mathematisches Institut, Georg-August-Universität Göttingen: Seminars Winter Term 2004/2005, Universitätsdrucke Göttingen, 2005, p. 1-32. | MR | Zbl

[15] M. Hovey - Model categories, Mathematical Surveys and Monographs, vol. 63, Amer. Math. Soc., 1999. | MR | Zbl

[16] M. Hovey,"Model category structures on chain complexes of sheaves", Trans. Amer. Math. Soc. 353 (2001), p. 2441-2457. | MR | Zbl | DOI

[17] M. Kashiwara & P. Schapira - Sheaves on manifolds, Grund. Math. Wiss., vol. 292, Springer, 1990. | MR | Zbl

[18] Y. Laszlo & M. Olsson - "The six operations for sheaves on Artin stacks. I. Finite coefficients", Publ. Math. Inst. Hautes Études Sci. 107 (2008), p. 109-168. | MR | Zbl | EuDML | Numdam | DOI

[19] V. Mathai & D. Stevenson - "Chern character in twisted K -theory: equivariant and holomorphic cases", Comm. Math. Phys. 236 (2003), p. 161-186. | MR | Zbl | DOI

[20] J. S. Milne - Étale cohomology, Princeton Mathematical Series, vol. 33, Princeton Univ. Press, 1980. | MR | Zbl

[21] A. Neeman - Triangulated categories, Annals of Math. Studies, vol. 148, Princeton Univ. Press, 2001. | MR | Zbl

[22] B. Noohi - "Foundations of topological stacks I", preprint arXivrmath. AG/0503247. | Zbl

[23] M. Olsson - "Sheaves on Artin stacks", J. reine angew. Math. 603 (2007), p. 55-112. | MR | Zbl

[24] A. S. Pande - "Topological T -duality and Kaluza-Klein monopoles", Adv. Theor. Math. Phys. 12 (2008), p. 185-215. | MR | Zbl | DOI

[25] G. Tamme - Introduction to étale cohomology, Universitext, Springer, 1994. | MR | Zbl | DOI

[26] J.-L. Verdier - Dualité dans la cohomologie des espaces localement compacts, Séminaire Bourbaki, exp. n° 300, Soc. Math. France, 1995. | MR | Zbl | EuDML | Numdam