Geodesic
Relative Index Theorem in $K$-Homology
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 85-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove an analog of Gromov–Lawson type relative index theorems for $K$-homology classes.
Keywords: Fredholm module, cutting and pasting, relative index, $K$-homology. 
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     author = {V. E. Nazaikinskii},
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V. E. Nazaikinskii. Relative Index Theorem in $K$-Homology. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 85-90. http://geodesic.mathdoc.fr/item/FAA_2015_49_4_a8/

[1] P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah–Singer Index Theorem, CRC Press, Boca Raton, FL, 1995 | MR | Zbl

[2] M. Gromov, H. B. Lawson Jr., Publ. Math. IHES, 58:1 (1983), 83–196 | DOI | Zbl

[3] V. E. Nazaikinskii, B. Yu. Sternin, Funkts. analiz i ego pril., 35:2 (2001), 37–52 | DOI | MR | Zbl

[4] V. Nazaikinskii, A. Savin, B.-W. Schulze, B. Sternin, Elliptic Theory on Singular Manifolds, Chapman Hall/CRC, Boca Raton, FL, 2005 | MR

[5] U. Bunke, Math. Ann., 303:2 (1995), 241–279 | DOI | MR | Zbl

[6] N. Higson, J. Roe, Analytic $K$-Homology, Oxford University Press, Oxford, 2000 | MR | Zbl