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Arone, Gregory Z.

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Author ID: arone.gregory-z Recent zbMATH articles by "Arone, Gregory Z."
Published as: Arone, G. Z.; Arone, Greg; Arone, Gregory; Arone, Gregory Z.
Documents Indexed: 28 Publications since 1998, including 3 Books
Reviewing Activity: 7 Reviews

Publications by Year

Citations contained in zbMATH

24 Publications have been cited 212 times in 117 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
35
1999
A generalization of Snaith-type filtration. Zbl 0945.55011
Arone, Greg
19
1999
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
18
2011
Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026
Arone, Gregory; Lambrechts, Pascal; Volić, Ismar
15
2007
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
15
2001
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
14
2014
A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007
Arone, Greg; Kankaanrinta, Marja
11
1998
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
9
2002
The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
9
1998
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
8
2010
Loop structures in Taylor towers. Zbl 1139.55008
Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn
8
2008
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
7
2008
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. Zbl 1329.57035
Arone, Gregory; Turchin, Victor
6
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
6
2015
Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
5
2010
Filtered spectra arising from permutative categories. Zbl 1138.55007
Arone, Gregory; Lesh, Kathryn
4
2007
A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
4
2006
Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004
Arone, Greg
4
1998
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
3
2016
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
3
2016
Derivatives of embedding functors. I: The stable case. Zbl 1247.57020
Arone, Gregory
3
2009
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
3
2001
The sphere operad. Zbl 1284.18018
Arone, Gregory; Kankaanrinta, Marja
2
2014
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
1
2017
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
1
2017
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
3
2016
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
3
2016
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. Zbl 1329.57035
Arone, Gregory; Turchin, Victor
6
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
6
2015
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
14
2014
The sphere operad. Zbl 1284.18018
Arone, Gregory; Kankaanrinta, Marja
2
2014
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
18
2011
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
8
2010
Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
5
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
8
2008
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
7
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
4
2007
A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
4
2006
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
9
2002
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
15
2001
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
3
2001
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016
Arone, Greg; Mahowald, Mark
35
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
11
1998
The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
9
1998
Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004
Arone, Greg
4
1998
all top 5

Cited by 126 Authors

9 Arone, Gregory Z.
7 Kuhn, Nicholas J.
7 Turchin, Victor Éduardovich
6 Ching, Michael
6 Volić, Ismar
5 Hausmann, Markus
4 Barnes, David
4 Behrens, Mark Joseph
4 Dwyer, William G.
4 Harper, John E.
4 Lambrechts, Pascal
4 Willwacher, Thomas Hans
4 Živković, Marko
3 Eldred, Rosona
3 Johnson, Brenda Lynn
3 Klein, John Robert
3 Lesh, Kathryn
3 Weiss, Michael S.
2 Barthel, Tobias
2 Biedermann, Georg
2 Chorny, Boris
2 Dotto, Emanuele
2 Ducoulombier, Julien
2 Fresse, Benoit
2 Hess, Kathryn P.
2 Juhász, András
2 Kankaanrinta, Marja
2 Khoroshkin, Anton
2 Malkiewich, Cary
2 McCarthy, Randy
2 Oman, Peter J.
2 Rezk, Charles
2 Riehl, Emily
2 Röndigs, Oliver
2 Šarčević, Franjo
2 Stojanoska, Vesna
2 Teleman, Andrei-Dumitru
1 Ahearn, Stephen T.
1 Antolín-Camarena, Omar
1 Ayala, David
1 Bauer, Kristine
1 Baues, Hans-Joachim
1 Bergner, Julie
1 Betley, Stanislaw
1 Blumberg, Andrew J.
1 Boavida de Brito, Pedro
1 Büscher, Sebastian
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 Flores, Ramón J.
1 Francis, John
1 Ganatra, Sheel
1 Goodwillie, Thomas Gehret
1 Greenlees, John P. C.
1 Hahn, Jeremy
1 Hai, Nguyen Dang Ho
1 Hebestreit, Fabian
1 Helmstutler, Randall D.
1 Hemmer, David J.
1 Heuts, Gijs
1 Hill, Michael A.
1 Hirsh, Joseph
1 Ho, Hai Nguyen Dang
1 Hopkins, Michael Jerome
1 Hu, Po
1 Hunter, David J.
1 Hurtado, Sebastian
1 Intermont, Michele
1 Joachimi, Ruth
1 Kallel, Sadok
1 Karoui, Rym
1 Kjaer, Jens Jakob
1 Knudsen, Ben
1 Kříž, Igor
1 Lawson, Tyler Douglas
1 Lê Minh Hà
1 Lejay, Damien
1 Lim, Kay Jin
1 Macko, Tibor
1 Marengon, Marco
1 Markarian, Nikita
1 Mathew, Akhil
1 McCarty, Jason B.
1 Munson, Brian A.
1 Nakano, Daniel K.
1 Naumann, Niko
1 Nikolaus, Thomas
1 Noel, Justin
1 Osborne, Christina
1 Ostermayr, Dominik
1 Peter, John W.
1 Petersen, Dan
1 Podkorytov, Semën S.
1 Pomerleano, Daniel
1 Randal-Williams, Oscar
1 Reis, Rui M. G.
...and 26 more Authors

Citations by Year