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Author ID: arone.gregory-z Recent zbMATH articles by "Arone, Gregory Z."
Published as: Arone, Gregory; Arone, Greg; Arone, Gregory Z.; Arone, G. Z.

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 292 times in 159 Documents Cited by Year
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016
Arone, Greg; Mahowald, Mark
42
1999
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
23
2011
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
21
2001
A generalization of Snaith-type filtration. Zbl 0945.55011
Arone, Greg
19
1999
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
19
2014
Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026
Arone, Gregory; Lambrechts, Pascal; Volić, Ismar
15
2007
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
14
2002
A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007
Arone, Greg; Kankaanrinta, Marja
13
1998
The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
12
1998
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
12
2010
Loop structures in Taylor towers. Zbl 1139.55008
Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn
10
2008
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. (Les complexes de graphes qui calculent l’homotopie rationnelle des analogues en dimension supérieure des espaces de longs nœuds.) Zbl 1329.57035
Arone, Gregory; Turchin, Victor
10
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
9
2015
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
8
2008
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
8
2016
Filtered spectra arising from permutative categories. Zbl 1138.55007
Arone, Gregory; Lesh, Kathryn
7
2007
Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
7
2010
Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004
Arone, Greg
7
1998
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
6
2016
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
5
2001
A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
5
2006
The sphere operad. Zbl 1284.18018
Arone, Gregory; Kankaanrinta, Marja
4
2014
Derivatives of embedding functors. I: The stable case. Zbl 1247.57020
Arone, Gregory
3
2009
Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021
Arone, Gregory; Lesh, Kathryn
3
2020
Mapping spaces and homology isomorphisms. (with an appendix by Greg Arone and Nicholas J. Kuhn). Zbl 1088.55007
Kuhn, Nicholas J.
2
2006
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2
2017
Manifolds and \(K\)-theory. Conference on manifolds, \(K\)-theory, and related topics, Dubrovnik, Croatia, June 23–27, 2014. Proceedings. Zbl 1359.52001
2
2017
Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038
Arone, Gregory; Barnea, Ilan; Schlank, Tomer M.
2
2022
Goodwillie calculus. Zbl 1476.55031
Arone, Gregory; Ching, Michael
1
2020
Spaces of knotted circles and exotic smooth structures. Zbl 1483.57019
Arone, Gregory; Szymik, Markus
1
2022
\(p\)-toral approximations compute Bredon homology. Zbl 1489.55003
Arone, Gregory; Dwyer, W. G.; Lesh, Kathryn
1
2021
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra. Zbl 1522.81150
Arone, Gregory; Barnea, Ilan; Schlank, Tomer M.
1
2023
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra. Zbl 1522.81150
Arone, Gregory; Barnea, Ilan; Schlank, Tomer M.
1
2023
Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038
Arone, Gregory; Barnea, Ilan; Schlank, Tomer M.
2
2022
Spaces of knotted circles and exotic smooth structures. Zbl 1483.57019
Arone, Gregory; Szymik, Markus
1
2022
\(p\)-toral approximations compute Bredon homology. Zbl 1489.55003
Arone, Gregory; Dwyer, W. G.; Lesh, Kathryn
1
2021
Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021
Arone, Gregory; Lesh, Kathryn
3
2020
Goodwillie calculus. Zbl 1476.55031
Arone, Gregory; Ching, Michael
1
2020
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2
2017
Manifolds and \(K\)-theory. Conference on manifolds, \(K\)-theory, and related topics, Dubrovnik, Croatia, June 23–27, 2014. Proceedings. Zbl 1359.52001
2
2017
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
8
2016
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
6
2016
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. (Les complexes de graphes qui calculent l’homotopie rationnelle des analogues en dimension supérieure des espaces de longs nœuds.) Zbl 1329.57035
Arone, Gregory; Turchin, Victor
10
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
9
2015
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
19
2014
The sphere operad. Zbl 1284.18018
Arone, Gregory; Kankaanrinta, Marja
4
2014
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
23
2011
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
12
2010
Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
7
2010
Derivatives of embedding functors. I: The stable case. Zbl 1247.57020
Arone, Gregory
3
2009
Loop structures in Taylor towers. Zbl 1139.55008
Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn
10
2008
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
8
2008
Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026
Arone, Gregory; Lambrechts, Pascal; Volić, Ismar
15
2007
Filtered spectra arising from permutative categories. Zbl 1138.55007
Arone, Gregory; Lesh, Kathryn
7
2007
A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
5
2006
Mapping spaces and homology isomorphisms. (with an appendix by Greg Arone and Nicholas J. Kuhn). Zbl 1088.55007
Kuhn, Nicholas J.
2
2006
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
14
2002
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
21
2001
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
5
2001
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016
Arone, Greg; Mahowald, Mark
42
1999
A generalization of Snaith-type filtration. Zbl 0945.55011
Arone, Greg
19
1999
A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007
Arone, Greg; Kankaanrinta, Marja
13
1998
The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
12
1998
Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004
Arone, Greg
7
1998
all top 5

Cited by 159 Authors

15 Arone, Gregory Z.
9 Turchin, Victor Éduardovich
8 Ching, Michael
7 Kuhn, Nicholas J.
6 Volić, Ismar
5 Ducoulombier, Julien
5 Harper, John E.
5 Hausmann, Markus
5 Willwacher, Thomas Hans
5 Živković, Marko
4 Barnes, David
4 Behrens, Mark Joseph
4 Dwyer, William G.
4 Johnson, Brenda Lynn
4 Lambrechts, Pascal
4 Lesh, Kathryn
4 Weiss, Michael S.
3 Boavida de Brito, Pedro
3 Eldred, Rosona
3 Fresse, Benoit
3 Hai, Nguyen Dang Ho
3 Hess, Kathryn P.
3 Idrissi, Najib
3 Juhász, András
3 Klein, John Robert
3 Taggart, Niall
2 Barnea, Ilan
2 Barthel, Tobias
2 Bergner, Julie
2 Biedermann, Georg
2 Chorny, Boris
2 Dotto, Emanuele
2 Flores, Ramón J.
2 Heuts, Gijs
2 Horel, Geoffroy
2 Kankaanrinta, Marja
2 Khoroshkin, Anton
2 Knudsen, Ben
2 Malkiewich, Cary
2 McCarthy, Randy
2 Oman, Peter J.
2 Rezk, Charles
2 Riehl, Emily
2 Röndigs, Oliver
2 Salvatore, Paolo
2 Šarčević, Franjo
2 Schlank, Tomer M.
2 Stojanoska, Vesna
2 Szymik, Markus
2 Teleman, Andrei-Dumitru
1 Ahearn, Stephen T.
1 Antolín-Camarena, Omar
1 Ayala, David
1 Bandklayder, Lauren
1 Bauer, Kristine
1 Baues, Hans-Joachim
1 Betley, Stanislaw
1 Blomquist, Jacobson R.
1 Blumberg, Andrew J.
1 Boyde, Guy
1 Brantner, D. Lukas B.
1 Brun, Simon
1 Büscher, Sebastian
1 Campos, Ricardo
1 Cantero Morán, Federico
1 Cho’n, Phan Hoàng
1 Cohen, Frederick Ronald
1 Dolgushev, Vasily A.
1 Drummond-Cole, Gabriel C.
1 Felder, Matteo
1 Francis, John
1 Ganatra, Sheel
1 Geisser, Thomas H.
1 Goodwillie, Thomas Gehret
1 Greenlees, John P. C.
1 Griffiths, Rhiannon
1 Hahn, Jeremy
1 Hebestreit, Fabian
1 Helmstutler, Randall D.
1 Hemmer, David J.
1 Hesselholt, Lars
1 Hill, Michael A.
1 Hinich, Vladimir
1 Hirsh, Joseph
1 Ho, Hai Nguyen Dang
1 Hopkins, Michael Jerome
1 Hu, Po
1 Hu, Yang
1 Huber-Klawitter, Annette
1 Hunter, David J.
1 Hurtado-Salazar, Sebastian
1 Intermont, Michele
1 Joachimi, Ruth
1 Kallel, Sadok
1 Karoui, Rym
1 Kerz, Moritz C.
1 Kjaer, Jens Jakob
1 Kosanović, Danica
1 Kříž, Igor
1 Lawson, Tyler Douglas
...and 59 more Authors
all top 5

Cited in 59 Serials

20 Algebraic & Geometric Topology
13 Transactions of the American Mathematical Society
12 Advances in Mathematics
10 Journal of Pure and Applied Algebra
10 Geometry & Topology
7 Journal of Homotopy and Related Structures
5 Journal of Topology
4 Compositio Mathematica
4 Memoirs of the American Mathematical Society
4 Proceedings of the American Mathematical Society
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Zeitschrift
3 Journal of the European Mathematical Society (JEMS)
2 Letters in Mathematical Physics
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Fundamenta Mathematicae
2 Inventiones Mathematicae
2 Journal of Algebra
2 Proceedings of the London Mathematical Society. Third Series
2 Topology and its Applications
2 Forum Mathematicum
2 The New York Journal of Mathematics
2 Selecta Mathematica. New Series
2 Higher Structures
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Proceedings of the Japan Academy. Series A
1 Bulletin of the Korean Mathematical Society
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Journal of Knot Theory and its Ramifications
1 Applied Categorical Structures
1 Theory and Applications of Categories
1 Vietnam Journal of Mathematics
1 Algebras and Representation Theory
1 Annals of Mathematics. Second Series
1 Advanced Nonlinear Studies
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Journal of Noncommutative Geometry
1 Involve
1 Tbilisi Mathematical Journal
1 Graduate Journal of Mathematics

Citations by Year