Riemann-Roch theorems via deformation quantization, I

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Standard

Riemann-Roch theorems via deformation quantization, I. / Bressler, P.; Nest, R.; Tsygan, B.

In: Advances in Mathematics, Vol. 167, No. 1, 15.04.2002, p. 1-25.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bressler, P, Nest, R & Tsygan, B 2002, 'Riemann-Roch theorems via deformation quantization, I', Advances in Mathematics, vol. 167, no. 1, pp. 1-25. https://doi.org/10.1006/aima.2000.1977

APA

Bressler, P., Nest, R., & Tsygan, B. (2002). Riemann-Roch theorems via deformation quantization, I. Advances in Mathematics, 167(1), 1-25. https://doi.org/10.1006/aima.2000.1977

Vancouver

Bressler P, Nest R, Tsygan B. Riemann-Roch theorems via deformation quantization, I. Advances in Mathematics. 2002 Apr 15;167(1):1-25. https://doi.org/10.1006/aima.2000.1977

Author

Bressler, P. ; Nest, R. ; Tsygan, B. / Riemann-Roch theorems via deformation quantization, I. In: Advances in Mathematics. 2002 ; Vol. 167, No. 1. pp. 1-25.

Bibtex

@article{54addb02487e4c48b60785e280206005,
title = "Riemann-Roch theorems via deformation quantization, I",
abstract = "We deduce the Riemann-Roch type formula expressing the microlocal Euler class of a perfect complex of D-modules in terms of the Chern character of the associated symbol complex and the Todd class of the manifold from the Riemann-Roch type theorem for periodic cyclic cocycles of a symplectic deformation quantization. The proof of the latter is contained in the sequel to this paper.",
author = "P. Bressler and R. Nest and B. Tsygan",
year = "2002",
month = apr,
day = "15",
doi = "10.1006/aima.2000.1977",
language = "English",
volume = "167",
pages = "1--25",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",
number = "1",

}

RIS

TY - JOUR

T1 - Riemann-Roch theorems via deformation quantization, I

AU - Bressler, P.

AU - Nest, R.

AU - Tsygan, B.

PY - 2002/4/15

Y1 - 2002/4/15

N2 - We deduce the Riemann-Roch type formula expressing the microlocal Euler class of a perfect complex of D-modules in terms of the Chern character of the associated symbol complex and the Todd class of the manifold from the Riemann-Roch type theorem for periodic cyclic cocycles of a symplectic deformation quantization. The proof of the latter is contained in the sequel to this paper.

AB - We deduce the Riemann-Roch type formula expressing the microlocal Euler class of a perfect complex of D-modules in terms of the Chern character of the associated symbol complex and the Todd class of the manifold from the Riemann-Roch type theorem for periodic cyclic cocycles of a symplectic deformation quantization. The proof of the latter is contained in the sequel to this paper.

UR - http://www.scopus.com/inward/record.url?scp=0037091873&partnerID=8YFLogxK

U2 - 10.1006/aima.2000.1977

DO - 10.1006/aima.2000.1977

M3 - Journal article

AN - SCOPUS:0037091873

VL - 167

SP - 1

EP - 25

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 1

ER -

ID: 237364810