Geodesic
Relative Index Theorem in $K$-Homology
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 85-90

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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. 
@article{FAA_2015_49_4_a8,
     author = {V. E. Nazaikinskii},
     title = {Relative {Index} {Theorem} in $K${-Homology}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {85--90},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_4_a8/}
}
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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/