On the compatibility between the differential topological index and the analytic Bunke-Schick push-forward construction

被引：0

作者：

Elmrabty, Adnane ^{[1
]}

机构：

[1] Ibn Zohr Univ, Agadir, Morocco

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2019年 / 26卷 / 02期

关键词：

differential K-theory; differential indices; reduced eta invariant; FAMILIES INDEX; SUPERCONNECTIONS; MANIFOLDS; BOUNDARY; CONES;

D O I：

10.36045/bbms/1561687564

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we establish the compatibility between the topological index in the differential K-theory of Freed-Lott and the analytic push-forward construction in the differential K-theory of Bunke-Schick by a direct computation.

引用

页码：241 / 253

页数：13

共 12 条

[1] [Anonymous], 1994, Comm. Anal. Geom., DOI DOI 10.4310/CAG.1994.V2.N2.A6
[2] Baum P, 2007, PURE APPL MATH Q, V3, P1
[3] FAMILIES INDEX FOR MANIFOLDS WITH BOUNDARY, SUPERCONNECTIONS, AND CONES .1. FAMILIES OF MANIFOLDS WITH BOUNDARY AND DIRAC OPERATORS
BISMUT, JM
CHEEGER, J
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 89 (02) : 313 - 363
[4] FAMILIES INDEX FOR MANIFOLDS WITH BOUNDARY, SUPERCONNECTIONS AND CONES .2. THE CHERN CHARACTER
BISMUT, JM
CHEEGER, J
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 90 (02) : 306 - 354
[5] REAL EMBEDDINGS AND ETA-INVARIANTS
BISMUT, JM
ZHANG, WP
[J]. MATHEMATISCHE ANNALEN, 1993, 295 (04) : 661 - 684
[6] Bunke U, 2009, ASTERISQUE, P45
[7] Uniqueness of smooth extensions of generalized cohomology theories
Bunke, Ulrich
Schick, Thomas
[J]. JOURNAL OF TOPOLOGY, 2010, 3 (01) : 110 - 156
[8] Bunke U, 2009, MEM AM MATH SOC, V198, P1
[9] An index theorem in differential K-theory
Freed, Daniel S.
Lott, John
[J]. GEOMETRY & TOPOLOGY, 2010, 14 (02) : 903 - 966
[10] A MOD-K INDEX THEOREM
FREED, DS
MELROSE, RB
[J]. INVENTIONES MATHEMATICAE, 1992, 107 (02) : 283 - 299

← 1 2 →