The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

被引：44

作者：

Markarian, Nikita ^{[1
]}

机构：

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2009年 / 79卷

关键词：

D O I：

10.1112/jlms/jdn064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a formalism involving Atiyah classes of sheaves on a smooth manifold, Hochschild chain and cochain complexes. As an application we prove a version of the Riemann-Roch theorem.

引用

页码：129 / 143

页数：15

共 50 条

[21] A STOCHASTIC APPROACH TO THE RIEMANN-ROCH THEOREM
SHIGEKAWA, I
UEKI, N
[J]. OSAKA JOURNAL OF MATHEMATICS, 1988, 25 (04) : 759 - 784
[22] A RIEMANN-ROCH THEOREM FOR DG ALGEBRAS
Petit, Francois
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2013, 141 (02): : 197 - 223
[23] ON RIEMANN-ROCH THEOREM FOR OPEN SURFACES
CHEN, HH
[J]. SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1985, 28 (11): : 1132 - 1138
[24] On Grothendieck's Riemann-Roch theorem
Navarro, Alberto
[J]. EXPOSITIONES MATHEMATICAE, 2017, 35 (03) : 326 - 342
[25] LECTURES ON THE ARITHMETIC RIEMANN-ROCH THEOREM
FALTINGS, G
[J]. ANNALS OF MATHEMATICS STUDIES, 1992, (127): : 3 - 100
[26] CYCLE CLASSES AND RIEMANN-ROCH FOR CRYSTALLINE COHOMOLOGY
GILLET, H
MESSING, W
[J]. DUKE MATHEMATICAL JOURNAL, 1987, 55 (03) : 501 - 538
[27] Riemann-Hurwitz theorem and Riemann-Roch theorem for hypermaps
Cheng, Mengnan
Cao, Tingbin
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2024, 59 (01) : 95 - 110
[28] A SUPPLEMENT TO THE RIEMANN-ROCH THEOREM ON A NONCOMPACT RIEMANN SURFACE
BIKCHANTAEV, IA
[J]. MATHEMATICAL NOTES, 1984, 35 (1-2) : 52 - 54
[29] RIEMANN-ROCH THEOREM FOR LOCALLY PRINCIPAL ORDERS
BRZEZINSKI, J
[J]. MATHEMATISCHE ANNALEN, 1987, 276 (04) : 529 - 536
[30] DENOMINATOR-LESS RIEMANN-ROCH THEOREM
JOUANOLOU, JP
[J]. INVENTIONES MATHEMATICAE, 1970, 11 (01) : 15 - +

← 1 2 3 4 5 →