|
|
|
|
| LEADER |
00000cam a22000008i 4500 |
| 001 |
in00000006660 |
| 008 |
230424s2023 sz a b 001 0 eng d |
| 005 |
20240319161706.4 |
| 035 |
|
|
|a (OCoLC)on1378629226
|
| 040 |
|
|
|a UKMGB
|b eng
|e rda
|c UKMGB
|d OCLCF
|d OCLCQ
|d OCLCO
|d IPS
|d OCLCO
|d QGE
|d QGJ
|d OCLCO
|d YDX
|d BDX
|d OHX
|d HUL
|
| 015 |
|
|
|a GBC385052
|2 bnb
|
| 016 |
7 |
|
|a 021041589
|2 Uk
|
| 019 |
|
|
|a 1366123759
|
| 020 |
|
|
|a 9783031272332
|q (hardback)
|
| 020 |
|
|
|a 3031272331
|q (hardback)
|
| 035 |
|
|
|a (OCoLC)1378629226
|z (OCoLC)1366123759
|
| 050 |
|
4 |
|a QA612.36
|b .B57 2023
|
| 082 |
0 |
4 |
|a 516.183
|2 23
|
| 049 |
|
|
|a HCDD
|
| 100 |
1 |
|
|a Bismut, Jean-Michel,
|e author.
|4 aut
|1 https://isni.org/isni/000000011879445X
|
| 245 |
1 |
0 |
|a Coherent sheaves, superconnections, and Riemann-Roch-Grothendieck /
|c Jean-Michel Bismut, Shu Shen, Zhaoting Wei.
|
| 264 |
|
1 |
|a Cham :
|b Birkh̃user,
|c [2023]
|
| 300 |
|
|
|a x, 184 pages ;
|c 24 cm
|
| 336 |
|
|
|a text
|2 rdacontent
|
| 336 |
|
|
|a still image
|2 rdacontent
|
| 337 |
|
|
|a unmediated
|2 rdamedia
|
| 338 |
|
|
|a volume
|2 rdacarrier
|
| 490 |
1 |
|
|a Progress in mathematics ;
|v 347
|
| 504 |
|
|
|a Includes bibliographic references (p. 175-178) and index.
|
| 505 |
0 |
|
|a 1. Introduction -- 2. Bott-Chern cohomology and characteristic classes -- 3. The derived category -- 4. Preliminaries on linear algebra and differential geometry -- 5. The antiholomorphic superconnections of Block -- 6. An equivalence of categories -- 7. Antiholomorphic superconnections and generalized metrics -- 8. Generalized metrics and Chern character forms -- 9. The case of embeddings -- 10. Submersions and elliptic superconnection forms -- 11. Elliptic superconnection forms and direct images -- 12. A proof of Theorem 10.1.1 when ∂-X∂XωX = 0 -- 13. The hypoelliptic superconnections -- 14. The hypoelliptic superconnection forms -- 15. The hypoelliptic superconnection forms when ∂-X∂XωX = 0 -- 16. Exotic superconnections and Riemann-Roch-Grothendieck.
|
| 520 |
|
|
|a "This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck theorem. One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections. Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian."--
|c Publisher's website
|
| 650 |
|
0 |
|a Grothendieck groups.
|
| 650 |
|
0 |
|a Chern classes.
|
| 650 |
|
0 |
|a Sheaf theory.
|
| 650 |
|
0 |
|a Complexes.
|
| 700 |
1 |
|
|a Shen, Shu,
|e author.
|4 aut
|
| 700 |
1 |
|
|a Wei, Zhaoting,
|e author.
|4 aut
|
| 830 |
|
0 |
|a Progress in mathematics (Boston, Mass.) ;
|v v. 347.
|
| 938 |
|
|
|a YBP Library Services
|b YANK
|n 19380817
|
| 951 |
|
|
|a HCD
|
| 994 |
|
|
|a C0
|b HCD
|
| 999 |
f |
f |
|s 0bf949b3-f128-46fa-833f-654a27d3c61b
|i eea2c0e9-a2ea-48c6-925a-2ecb592fc2eb
|
| 952 |
f |
f |
|p Can Circulate
|a College of the Holy Cross
|b Main Campus
|c Science
|d Science Library
|e QA612.36 .B57 2023
|h Library of Congress classification
|i Book
|m 38400004368096
|