Remarks on flat and differential -theory
Man-Ho Ho[1]
- [1] Department of Mathematics Hong Kong Baptist University Kowloon Tong, Kowloon Hong Kong
Annales mathématiques Blaise Pascal (2014)
- Volume: 21, Issue: 1, page 91-101
- ISSN: 1259-1734
Access Full Article
top
Abstract
topHow to cite
topHo, Man-Ho. "Remarks on flat and differential $K$-theory." Annales mathématiques Blaise Pascal 21.1 (2014): 91-101. <http://eudml.org/doc/275543>.
@article{Ho2014,
abstract = {In this note we prove some results in flat and differential $K$-theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential $K$-theory and Freed-Lott differential $K$-theory.},
affiliation = {Department of Mathematics Hong Kong Baptist University Kowloon Tong, Kowloon Hong Kong},
author = {Ho, Man-Ho},
journal = {Annales mathématiques Blaise Pascal},
keywords = {differential $K$-theory; topological index; differential -theory; flat -theory},
language = {eng},
month = {1},
number = {1},
pages = {91-101},
publisher = {Annales mathématiques Blaise Pascal},
title = {Remarks on flat and differential $K$-theory},
url = {http://eudml.org/doc/275543},
volume = {21},
year = {2014},
}
TY - JOUR
AU - Ho, Man-Ho
TI - Remarks on flat and differential $K$-theory
JO - Annales mathématiques Blaise Pascal
DA - 2014/1//
PB - Annales mathématiques Blaise Pascal
VL - 21
IS - 1
SP - 91
EP - 101
AB - In this note we prove some results in flat and differential $K$-theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential $K$-theory and Freed-Lott differential $K$-theory.
LA - eng
KW - differential $K$-theory; topological index; differential -theory; flat -theory
UR - http://eudml.org/doc/275543
ER -
References
top- P. Baum, N. Higson, T. Schick, On the equivalence of geometric and analytic -homology, Pure Appl. Math. Q. 3 (2007), 1-24 Zbl1146.19004MR2330153
- J.M. Bismut, W. Zhang, Real embeddings and eta invariants, Math. Ann. 295 (1993), 661-684 Zbl0795.57010MR1214954
- U. Bunke, Index theory, eta forms, and Deligne cohomology, Mem. Amer. Math. Soc. 198 (2009) Zbl1181.58017MR2191484
- U. Bunke, T. Schick, Smooth -theory, Astérisque (2009), 45-135 Zbl1202.19007MR2664467
- U. Bunke, T. Schick, Uniqueness of smooth extensions of generalized cohomology theories, J. Topol. 3 (2010), 110-156 Zbl1252.55002MR2608479
- U. Bunke, T. Schick, Differential -theory. A survey, Global Differential Geometry 17 (2012), 303-358, Springer-Verlag, Berlin Heidelberg Zbl1245.19002
- D. Freed, J. Lott, An index theorem in differential -theory, Geom. Topol. 14 (2010), 903-966 Zbl1197.58007MR2602854
- M.-H. Ho, The differential analytic index in Simons-Sullivan differential -theory, Ann. Global Anal. Geom. 42 (2012), 523-535 Zbl1257.19005MR2995203
- M. J. Hopkins, I. M. Singer, Quadratic functions in geometry, topology, and -theory, J. Differential Geom. 70 (2005), 329-452 Zbl1116.58018MR2192936
- K. Klonoff, An index theorem in differential -theory, (2008) MR2711943
- J. Lott, index theory, Comm. Anal. Geom. 2 (1994), 279-311 Zbl0840.58044MR1312690
- J. Simons, D. Sullivan, Structured vector bundles define differential -theory, Quanta of maths 11 (2010), 579-599, Amer. Math. Soc., Providence, RI Zbl1216.19009MR2732065
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.