Chern character in twisted $K$-theory: equivariant and holomorphic cases TeX Export

@article{citeulike:466585, abstract = { It was shown by E. Witten \ref[J. High Energy Phys. <strong>1998</strong>, no. 12, Paper 19, 41 pp. (electronic); <A HREF="/msnmain?fn=105\&fmt=doc\&r=1\&pg1=CNO\&s1=1674715\&loc=fromrevtext">MR1674715 (2000e:81151)</A>] that the D-brane charge in type IIB string theory over a space-time \$M\$ should be regarded as an element of a twisted \$K\$-theory group \$K\_{[H]}(M)\$, where \$H\$ is a global \$3\$-form associated to the \$B\$-field. Furthermore, in \ref[P. Bouwknegt et al., Comm. Math. Phys. <strong> 228</strong> (2002), no. 1, 17--45; <A HREF="/msnmain?fn=105\&fmt=doc\&r=1\&pg1=CNO\&s1=1911247\&loc=fromrevtext">MR1911247 (2003g:58049)</A>], the authors and their collaborators provided a way to interpret the twisted \$K\$-theory within the category of bundle gerbes and stable isomorphisms. The paper under review discusses in detail the Chern-Weil term associated to the \$K\$-theoretic bundle gerbe, extending the construction of \ref[P. Bouwknegt et al., op. cit.] to the equivariant and holomorphic cases.}, author = {Mathai, Varghese and Stevenson, Danny}, citeulike-article-id = {466585}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s00220-003-0807-7}, citeulike-linkout-1 = {http://www.ams.org/mathscinet-getitem?mr=1977885}, doi = {10.1007/s00220-003-0807-7}, journal = {Comm. Math. Phys.}, keywords = {chern\_character, equivariant, holomorphic, k-theory, ncg, twisted}, mrnumber = {MR1977885}, number = {1}, pages = {161--186}, posted-at = {2006-01-17 02:12:44}, priority = {2}, title = {Chern character in twisted \$K\$-theory: equivariant and holomorphic cases}, url = {http://dx.doi.org/10.1007/s00220-003-0807-7}, volume = {236}, year = {2003} }

TY - JOUR ID - citeulike:466585 L3 - citeulike-article-id:466585 N2 - It was shown by E. Witten \ref[J. High Energy Phys. <strong>1998</strong>, no. 12, Paper 19, 41 pp. (electronic); <A HREF="/msnmain?fn=105&fmt=doc&r=1&pg1=CNO&s1=1674715&loc=fromrevtext">MR1674715 (2000e:81151)</A>] that the D-brane charge in type IIB string theory over a space-time $M$ should be regarded as an element of a twisted $K$-theory group $K_{[H]}(M)$, where $H$ is a global $3$-form associated to the $B$-field. Furthermore, in \ref[P. Bouwknegt et al., Comm. Math. Phys. <strong> 228</strong> (2002), no. 1, 17--45; <A HREF="/msnmain?fn=105&fmt=doc&r=1&pg1=CNO&s1=1911247&loc=fromrevtext">MR1911247 (2003g:58049)</A>], the authors and their collaborators provided a way to interpret the twisted $K$-theory within the category of bundle gerbes and stable isomorphisms. The paper under review discusses in detail the Chern-Weil term associated to the $K$-theoretic bundle gerbe, extending the construction of \ref[P. Bouwknegt et al., op. cit.] to the equivariant and holomorphic cases. IS - 1 JF - Comm. Math. Phys. EP - 186 TI - Chern character in twisted $K$-theory: equivariant and holomorphic cases VL - 236 SP - 161 KW - chern_character KW - equivariant KW - holomorphic KW - k-theory KW - ncg KW - twisted AU - Mathai, Varghese AU - Stevenson, Danny PY - 2003/// UR - http://dx.doi.org/10.1007/s00220-003-0807-7 ER -