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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Daniel Freed]], [[Michael Hopkins]], [[Constantin Teleman]], Section 2 of: _Twisted equivariant K-theory with complex coefficients_, Journal of Topology, Volume 1, Issue 1, 2007 ([arXiv:math/0206257](https://arxiv.org/abs/math/0206257), [doi:10.1112/jtopol/jtm001](https://doi.org/10.1112/jtopol/jtm001)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/2">v2</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to

   • Daniel Freed, Michael Hopkins, Constantin Teleman, Section 2 of: Twisted equivariant K-theory with complex coefficients, Journal of Topology, Volume 1, Issue 1, 2007 (arXiv:math/0206257, doi:10.1112/jtopol/jtm001)

   diff, v2, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Peter Bouwknegt]], [[Alan Carey]], [[Varghese Mathai]], [[Michael Murray]], [[Danny Stevenson]], Section 6.3 in: _Twisted K-theory and K-theory of bundle gerbes_ , Commun Math Phys, 228 (2002) 17-49 ([arXiv:hep-th/0106194](http://arxiv.org/abs/hep-th/0106194), [doi:10.1007/s002200200646](https://doi.org/10.1007/s002200200646)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/3">v3</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Peter Bouwknegt, Alan Carey, Varghese Mathai, Michael Murray, Danny Stevenson, Section 6.3 in: Twisted K-theory and K-theory of bundle gerbes , Commun Math Phys, 228 (2002) 17-49 (arXiv:hep-th/0106194, doi:10.1007/s002200200646)

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Varghese Mathai]], [[Danny Stevenson]], _Chern character in twisted K-theory: equivariant and holomorphic cases_, Commun. Math. Phys. 236:161-186, 2003 ([arXiv:hep-th/0201010](https://arxiv.org/abs/hep-th/0201010)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/3">v3</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Varghese Mathai, Danny Stevenson, Chern character in twisted K-theory: equivariant and holomorphic cases, Commun. Math. Phys. 236:161-186, 2003 (arXiv:hep-th/0201010)

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Michael Atiyah]], [[Graeme Segal]], Section 7 of: _Twisted K-theory_, Ukrainian Math. Bull. 1 (2004) ([arXiv:math/0407054](http://arxiv.org/abs/math/0407054), [journal page](http://iamm.su/en/journals/j879/?VID=10), [published pdf](http://iamm.su/upload/iblock/45e/t1-n3-287-330.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Michael Atiyah, Graeme Segal, Section 7 of: Twisted K-theory, Ukrainian Math. Bull. 1 (2004) (arXiv:math/0407054, journal page, published pdf)

   diff, v4, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Jean-Louis Tu]], [[Ping Xu]], _Chern character for twisted K-theory of orbifolds_, Advances in Mathematics Volume 207, Issue 2, 20 December 2006, Pages 455-483 ([arXiv:math/0505267](https://arxiv.org/abs/math/0505267), [doi:10.1016/j.aim.2005.12.001](https://doi.org/10.1016/j.aim.2005.12.001)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Jean-Louis Tu, Ping Xu, Chern character for twisted K-theory of orbifolds, Advances in Mathematics Volume 207, Issue 2, 20 December 2006, Pages 455-483 (arXiv:math/0505267, doi:10.1016/j.aim.2005.12.001)

   diff, v4, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Varghese Mathai]], [[Danny Stevenson]], Section 6 of: _On a generalized Connes-Hochschild-Kostant-Rosenberg theorem_, Advances in Mathematics, vol. 200 no. 2 (2006) 303-335 ([arXiv:math/0404329](https://arxiv.org/abs/math/0404329)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Varghese Mathai, Danny Stevenson, Section 6 of: On a generalized Connes-Hochschild-Kostant-Rosenberg theorem, Advances in Mathematics, vol. 200 no. 2 (2006) 303-335 (arXiv:math/0404329)

   diff, v4, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • (edited Sep 5th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Paul Bressler]], A. Gorokhovsky, R. Nest, [[Boris Tsygan]], _Chern Character for Twisted Complexes_. In: Kapranov M., Manin Y.I., Moree P., Kolyada S., Potyagailo L. (eds.) Geometry and Dynamics of Groups and Spaces. Progress in Mathematics, vol 265. Birkhäuser Basel (2007) ([doi:10.1007/978-3-7643-8608-5_5](https://doi.org/10.1007/978-3-7643-8608-5_5)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Paul Bressler, A. Gorokhovsky, R. Nest, Boris Tsygan, Chern Character for Twisted Complexes. In: Kapranov M., Manin Y.I., Moree P., Kolyada S., Potyagailo L. (eds.) Geometry and Dynamics of Groups and Spaces. Progress in Mathematics, vol 265. Birkhäuser Basel (2007) (doi:10.1007/978-3-7643-8608-5_5)

   diff, v4, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Kiyonori Gomi]], [[Yuji Terashima]], Section 4 of: _Chern-Weil Construction for Twisted K-Theory_, Commun. Math. Phys. 299, 225–254 (2010) ([doi:10.1007/s00220-010-1080-1](https://doi.org/10.1007/s00220-010-1080-1)) (in terms of [[vectorial bundles]]) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Kiyonori Gomi, Yuji Terashima, Section 4 of: Chern-Weil Construction for Twisted K-Theory, Commun. Math. Phys. 299, 225–254 (2010) (doi:10.1007/s00220-010-1080-1)

     (in terms of vectorial bundles)

   diff, v4, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeSep 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Max Karoubi]], Section 8.3 of: _Twisted bundles and twisted K-theory_, in: Guillermo Cortiñas (ed.) _Topics in Noncommutative Geometry_ ([arXiv:1012.2512](https://arxiv.org/abs/1012.2512), [ISBN:978-0-8218-6864-5](https://bookstore.ams.org/cmip-16)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/4">v4</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

   added pointer to:

   • Max Karoubi, Section 8.3 of: Twisted bundles and twisted K-theory, in: Guillermo Cortiñas (ed.) Topics in Noncommutative Geometry (arXiv:1012.2512, ISBN:978-0-8218-6864-5)

   diff, v4, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJul 30th 2021
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/twisted+Chern+character#InTermsOfTwistedCurvatureCharacteristicForms)) a description of the twisted Chern character as a twisted characteristic form of twisted connections on twisted virtual vector bundles, according to [BCMMS 2002, Prop. 9.1](https://ncatlab.org/nlab/show/twisted+Chern+character#BCMMS02) <a href="https://ncatlab.org/nlab/revision/diff/twisted+Chern+character/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+Chern+character/5">v5</a>, <a href="https://ncatlab.org/nlab/show/twisted+Chern+character">current</a>

    added (here) a description of the twisted Chern character as a twisted characteristic form of twisted connections on twisted virtual vector bundles, according to BCMMS 2002, Prop. 9.1

    diff, v5, current