Research output per year
Research output per year
Search results
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2019
Canonical holomorphic sections of determinant line bundles
Kaad, J. & Nest, R., 1 Jan 2019, In: Journal fur die Reine und Angewandte Mathematik. 746, p. 67-116Research output: Contribution to journal › Journal article › Research › peer-review
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2018
The K-theory of twisted multipullback quantum odd spheres and complex projective spaces
Hajac, P. M., Nest, R., Pask, D., Sims, A. & Zielinski, B., 2018, In: Journal of Noncommutative Geometry. 12, 3, p. 823-863 41 p.Research output: Contribution to journal › Journal article › Research › peer-review
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The Orbit Method for the Baum-Connes Conjecture for Algebraic Groups over Local Function Fields
Echterhoff, S., Li, K. & Nest, R., 2018, In: Journal of Lie Theory. 28, 2, p. 323-341Research output: Contribution to journal › Journal article › Research › peer-review
1 Citation (Scopus) -
2017
On quasi-classical limits of DQ-algebroids
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., 1 Jan 2017, In: Compositio Mathematica. 153, 1, p. 41-67Research output: Contribution to journal › Journal article › Research › peer-review
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2016
Uniqueness of the momentum map
Esposito, C. & Nest, R., Aug 2016, In: Journal of Geometry and Physics. 106, p. 342-351Research output: Contribution to journal › Journal article › Research › peer-review
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2015
A transformation rule for the index of commuting operators
Kaad, J. & Nest, R., 2015, In: Journal of Noncommutative Geometry. 9, 1, p. 83-119Research output: Contribution to journal › Journal article › Research › peer-review
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Deligne groupoid revisited
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., 7 Jul 2015, In: Theory and Applications of Categories. 30, p. 1001-1016Research output: Contribution to journal › Journal article › Research › peer-review
1 Citation (Scopus) -
Formality theorem for gerbes
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygand, B., 9 Mar 2015, In: Advances in Mathematics. 273, p. 215-241Research output: Contribution to journal › Journal article › Research › peer-review
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2012
C*-algebras over topological spaces: filtrated K-theory
Meyer, R. & Nest, R., Apr 2012, In: Canadian Journal of Mathematics - Journal Canadien de Mathématiques. 64, 2, p. 368-408Research output: Contribution to journal › Journal article › Research › peer-review
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KK -theory and spectral flow in von Neumann algebras
Kaad, J., Nest, R. & Rennie, A., Oct 2012, In: Journal of K-Theory. 10, 2, p. 241-277Research output: Contribution to journal › Journal article › Research › peer-review
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2011
Algebraic index theorem for symplectic deformations of gerbes
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., 2011, Noncommutative Geometry and Global Analysis. Connes, A., Gorokhovsky, A., Lesch, M., Pflaum, M. & Rangipour, B. (eds.). American Mathematical Society, p. 23-38 (Contemporary Mathematics, Vol. 546).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Deformations of algebroid stacks
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., 1 Mar 2011, In: Advances in Mathematics. 226, 4, p. 3013-3087Research output: Contribution to journal › Journal article › Research › peer-review
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On semi-classical states of quantum gravity and noncommutative geometry
Aastrup, J., Grimstrup, J. M., Paschke, M. & Nest, R., Mar 2011, In: Communications in Mathematical Physics. 302, 3, p. 675-696 30 p.Research output: Contribution to journal › Journal article › Research › peer-review
5 Citations (Scopus) -
Twisted cyclic theory, equivariant KK-theory and KMS states
Carey, A., Neshveyev, S., Nest, R. & Rennie, A. C., Jan 2011, In: Journal fuer die Reine und Angewandte Mathematik. 650, p. 161-191Research output: Contribution to journal › Journal article › Research › peer-review
23 Citations (Scopus) -
2010
Equivariant Poincaré duality for quantum group actions.
Nest, R. & Voigt, C., 1 Mar 2010, In: Journal of Functional Analysis. 258, 5, p. 1466-1503 37 p.Research output: Contribution to journal › Journal article › Research › peer-review
23 Citations (Scopus) -
Homological algebra in bivariant K-theory and other triangulated categories I
Meyer, R. & Nest, R., 2010, In: London Mathematical Society Lecture Notes. 375, p. 236-289Research output: Contribution to journal › Journal article › Research › peer-review
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2009
An analogue of Serre fibrations for C*-algebra bundles
Nest, R., Echterhoff, S. & Oyono-Oyono, H., 2009, In: Adv. Stud. Pure Math. 55, p. 209--221Research output: Contribution to journal › Journal article › Research › peer-review
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A new spectral triple over a space of connections
Aastrup, J., Grimstrup, J. M. & Nest, R., 2009, In: Communications in Mathematical Physics. 290, 1, p. 389-398 9 p.Research output: Contribution to journal › Journal article › Research › peer-review
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C*-algebras over topological spaces: the bootstrap class
Nest, R. & Meyer, R., 2009, In: Mu¨nster journal of mathematics. 2, p. 215-252Research output: Contribution to journal › Journal article › Research › peer-review
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Fibrations with noncommutative fibers
Nest, R., Oyono Oyono, H. & Echterhoff, S., 2009, In: Journal of Noncommutative Geometry. 3, 3Research output: Contribution to journal › Journal article › Research › peer-review
9 Citations (Scopus) -
Holonomy Loops, Spectral Triples& Quantum Gravity
Nest, R., Grimstrup, J. M. & Aastrup, J., 2009, In: Classical and Quantum Gravity. 26, 16Research output: Contribution to journal › Journal article › Research › peer-review
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Holonomy loops, spectral triples and quantum gravity
Johannes, A., Grimstrup, J. M. & Nest, R., 27 Jul 2009, In: Classical and Quantum Gravity. p. 165001Research output: Contribution to journal › Journal article › Research › peer-review
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Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras
Nest, R., Schrohe, E. & Aastrup, J., 2009, In: Journal of Functional Analysis. 257, 8Research output: Contribution to journal › Journal article › Research › peer-review
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On spectral triples in quantum gravity: II
Nest, R., Aastrup, J. & Grimstrup, J. M., 2009, In: Classical and Quantum Gravity. 26, 6Research output: Contribution to journal › Journal article › Research › peer-review
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On Spectral Triples in Quantum Gravity I
Aastrup, J., M. Grimstrup, J. & Nest, R., 2009, In: Journal of Noncommutative Geometry. 3, 1, p. 47-81Research output: Contribution to journal › Journal article › Research › peer-review
18 Citations (Scopus) -
On spectral triples in quantum gravity II
Aastrup, J., Grimstrup, J. M. & Nest, R., 2009, In: Journal of Noncommutative Geometry. 3, 1, p. 47-81Research output: Contribution to journal › Journal article › Research › peer-review
23 Citations (Scopus) -
2008
Chern character for twisted complexes
Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., 2008, In: Progress in Mathematics. 265Research output: Contribution to journal › Journal article › Research › peer-review
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Deformations of Azumaya algebras
Nest, R., Bressler, P., Gorokhovsky, A. & Tsygan, B., 2008, Actas del XVI Coloquio Latinoamericano de Algebra.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Principal noncommutative torus bundles
Echterhoff, S., Nest, R. & Oyono-Oyono, H., 2008, In: Proceedings of the London Mathematical Society.Research output: Contribution to journal › Journal article › Research › peer-review
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2007
An analogue of the Baum-Connes isomorphism for coactions of compact groups
Nest, R. & Meyer, R., 2007, In: Mathematica Scandinavica. 100, 2, p. 301-316Research output: Contribution to journal › Journal article › Research › peer-review
11 Citations (Scopus) -
Deformation quantisation of gerbes
Tsygan, B., Nest, R., Bressler, P. & Gorokhovsky, A., 2007, In: Advances in Mathematics. 214, 1, p. 230-266Research output: Contribution to journal › Journal article › Research › peer-review
29 Citations (Scopus) -
2006
A continuous field of C*-algebras and the tangent groupoid for manifolds with boundary.
Nest, R., Aastrup, J. & Schrohe, E., 2006, In: Journal of Functional Analysis. 2Research output: Contribution to journal › Journal article › Research › peer-review
6 Citations (Scopus) -
The Baum-Connes conjecture via localisation of categories
Nest, R. & Meyer, R., 2006, In: Topology. 45, 2Research output: Contribution to journal › Journal article › Research › peer-review
75 Citations (Scopus) -
2003
The Existance and Stability of Noncommutative Scalar Solitons
Durhuus, B., Jonsson, T. & Nest, R., 2003, In: Communications in Mathematical Physics. 233, p. 49-78Research output: Contribution to journal › Journal article › Research › peer-review
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2002
Formal deformations of symplectic Lile ALgbroids, deformations of holomorphic structures and index theorems
Nest, R. & Tsygan, B., 2002, In: Asian Journal of Mathematics. 6, 5, p. 599-633Research output: Contribution to journal › Journal article › Research › peer-review
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Local formula for the index of a Fourier Integral Operator
Nest, R., Leichtman, E. & Tsygan, B., 2002, In: Journal of Differential Geometry. 59, p. 269-300Research output: Contribution to journal › Journal article › Research › peer-review
11 Citations (Scopus) -
Riemann-Roch theorems for D-modules via deformation quantization, II
Nest, R., Bressler, P. & Tsygan, B., 2002, In: Advances in Mathematics. 17, p. 1-25Research output: Contribution to journal › Journal article › Research › peer-review
2 Citations (Scopus) -
The structure of the Brauer group and crossed products of C0(X)-linear group actions on C0(X,K)
Nest, R. & Echterhoff, S., 2002, In: Transactions of the American Mathematical Society. 353, p. 3685-3712Research output: Contribution to journal › Journal article › Research › peer-review
3 Citations (Scopus) -
2001
Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
Nest, R. & Tsygan, B., 2001, In: Asian Journal of Mathematics. 5, 4Research output: Contribution to journal › Journal article › Research › peer-review
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Noncommutative scalar solitons: Existence and nonexistence
Durhuus, B., Jonsson, T. & Nest, R., 2001, In: Physics Letters B. 500, p. 320-325Research output: Contribution to journal › Journal article › Research › peer-review
18 Citations (Scopus) -
1997
The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics
Elliott, G. A., Natsume, T. & Nest, R., 1997, In: Communications in Mathematical Physics. 182, p. 505-533Research output: Contribution to journal › Journal article › Research › peer-review
8 Citations (Scopus) -
The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanis
Elliott, G. A., Natsume, T. & Nest, R., 1997, In: Communications in Mathematical Physics. 182, p. 505-533Research output: Contribution to journal › Journal article › Research › peer-review
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1993
The Heisenberg group and K-theory
Elliott, G. A., Natsume, T. & Nest, R., 1993, In: K - Theory. 7, p. 409-428Research output: Contribution to journal › Journal article › Research › peer-review
22 Citations (Scopus) -
Topological Field Theories from Quantum 6J-symbols
Durhuus, B., Jakobsen, H. P. & Nest, R., 1993, In: Reviews in Mathematical Physics. 5, p. 1-67Research output: Contribution to journal › Journal article › Research › peer-review
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1992
A construction of topological quantum field theories from 6j-symbols
Durhuus, B., Jakobsen, H. P. & Nest, R., 1992, In: Nuclear physics B, Proceedings supplements. 25A, p. 109-121Research output: Contribution to journal › Journal article › Research › peer-review
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Topological field theories from quantum 6j-symbols
Jakobsen, H. P., Durhuus, B. & Nest, R., 1992, Topological and Geometrical Methods in Field Theory, Turku 1992. Singapore: World Scientific, p. 121-134Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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1991
The cyclic homology of algebras with adjoined unit
Elliott, G. A., Nest, R. & Rørdam, M., 1991, In: Proceedings of the American Mathematical Society. 113, p. 389-395Research output: Contribution to journal › Journal article › Research › peer-review