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Harer, John L.

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Author ID: harer.john-l Recent zbMATH articles by "Harer, John L."
Published as: Harer, J.; Harer, J. L.; Harer, John; Harer, John L.
Documents Indexed: 46 Publications since 1978, including 5 Books

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 1,537 times in 1,056 Documents Cited by Year
Computational topology. An introduction. Zbl 1193.55001
Edelsbrunner, Herbert; Harer, John L.
196
2010
The Euler characteristic of the moduli space of curves. Zbl 0616.14017
Harer, J.; Zagier, Don
174
1986
Combinatorics of train tracks. Zbl 0765.57001
Penner, R. C.; Harer, J. L.
156
1992
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
153
2007
The virtual cohomological dimension of the mapping class group of an orientable surface. Zbl 0592.57009
Harer, John L.
141
1986
Stability of the homology of the mapping class groups of orientable surfaces. Zbl 0579.57005
Harer, John L.
111
1985
The second homology group of the mapping class group of an orientable surface. Zbl 0533.57003
Harer, John
86
1983
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
70
2008
Some homology lens spaces which bound rational homology balls. Zbl 0483.57017
Casson, Andrew J.; Harer, John L.
34
1981
How to construct all fibered knots and links. Zbl 0504.57002
Harer, John
33
1982
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
32
2010
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
32
2003
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
26
2009
Fréchet means for distributions of persistence diagrams. Zbl 1296.68182
Turner, Katharine; Mileyko, Yuriy; Mukherjee, Sayan; Harer, John
25
2014
Probability measures on the space of persistence diagrams. Zbl 1247.68310
Mileyko, Yuriy; Mukherjee, Sayan; Harer, John
23
2011
Handlebody decompositions of complex surfaces. Zbl 0631.57009
Harer, John; Kas, Arnold; Kirby, Robion
19
1986
Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054
Perea, Jose A.; Harer, John
17
2015
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
17
2003
Stability of persistence diagrams. Zbl 1387.68252
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
16
2005
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
16
2004
Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Zbl 0715.57004
Harer, John L.
13
1990
Jacobi sets of multiple Morse functions. Zbl 1109.58018
Edelsbrunner, Herbert; Harer, John
12
2004
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2003
A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007
Goulden, I. P.; Harer, J. L.; Jackson, D. M.
12
2001
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
11
2006
The cohomology of the moduli space of curves. Zbl 0707.14020
Harer, John L.
11
1988
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
10
2008
The third homology group of the moduli space of curves. Zbl 0725.57005
Harer, John
10
1991
Probabilistic Fréchet means for time varying persistence diagrams. Zbl 1348.68285
Munch, Elizabeth; Turner, Katharine; Bendich, Paul; Mukherjee, Sayan; Mattingly, Jonathan; Harer, John
8
2015
Time-varying Reeb graphs for continuous space-time data. Zbl 1149.65013
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio; Snoeyink, Jack
8
2008
Euler characteristics of moduli spaces of curves. Zbl 1227.14028
Bini, Gilberto; Harer, John
7
2011
Time-varying Reeb graphs for continuous space-time data. Zbl 1377.68271
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio
6
2004
Hierarchical Morse complexes for piecewise linear 2-manifolds. Zbl 1379.57028
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
6
2001
The rational Picard group of the moduli space of Riemann surfaces with spin structure. Zbl 0814.14031
Harer, John L.
6
1993
On handlebody structures for hypersurfaces in \(\mathbb{C}^3\) and \(\mathbb{C} P^3\). Zbl 0384.57016
Harer, John
5
1978
Persistent homology for kernels, images, and cokernels. Zbl 1423.55005
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
4
2009
Extreme elevation on a 2-manifold. Zbl 1377.68258
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
4
2004
Scaffoldings and spines: organizing high-dimensional data using cover trees, local principal component analysis, and persistent homology. Zbl 1405.62069
Bendich, Paul; Gasparovic, Ellen; Harer, John; Tralie, Christopher J.
3
2018
Improving homology estimates with random walks. Zbl 1247.68303
Bendich, Paul; Galkovskyi, Taras; Harer, John
3
2011
Persistent intersection homology. Zbl 1223.55002
Bendich, Paul; Harer, John
3
2011
Alpha-beta witness complexes. Zbl 1209.68577
Attali, Dominique; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
3
2007
The homology of the mapping class group and its connection to surface bundles over surfaces. Zbl 0562.57006
Harer, John
2
1984
Representing elements of Pi//\(1M^ 3 \)by fibred knots. Zbl 0501.57004
Harer, John
1
1982
Scaffoldings and spines: organizing high-dimensional data using cover trees, local principal component analysis, and persistent homology. Zbl 1405.62069
Bendich, Paul; Gasparovic, Ellen; Harer, John; Tralie, Christopher J.
3
2018
Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054
Perea, Jose A.; Harer, John
17
2015
Probabilistic Fréchet means for time varying persistence diagrams. Zbl 1348.68285
Munch, Elizabeth; Turner, Katharine; Bendich, Paul; Mukherjee, Sayan; Mattingly, Jonathan; Harer, John
8
2015
Fréchet means for distributions of persistence diagrams. Zbl 1296.68182
Turner, Katharine; Mileyko, Yuriy; Mukherjee, Sayan; Harer, John
25
2014
Probability measures on the space of persistence diagrams. Zbl 1247.68310
Mileyko, Yuriy; Mukherjee, Sayan; Harer, John
23
2011
Euler characteristics of moduli spaces of curves. Zbl 1227.14028
Bini, Gilberto; Harer, John
7
2011
Improving homology estimates with random walks. Zbl 1247.68303
Bendich, Paul; Galkovskyi, Taras; Harer, John
3
2011
Persistent intersection homology. Zbl 1223.55002
Bendich, Paul; Harer, John
3
2011
Computational topology. An introduction. Zbl 1193.55001
Edelsbrunner, Herbert; Harer, John L.
196
2010
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
32
2010
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
26
2009
Persistent homology for kernels, images, and cokernels. Zbl 1423.55005
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
4
2009
Persistent homology – a survey. Zbl 1145.55007
Edelsbrunner, Herbert; Harer, John
70
2008
Reeb spaces of piecewise linear mappings. Zbl 1271.57059
Edelsbrunner, Herbert; Harer, John; Patel, Amit K.
10
2008
Time-varying Reeb graphs for continuous space-time data. Zbl 1149.65013
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio; Snoeyink, Jack
8
2008
Stability of persistence diagrams. Zbl 1117.54027
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
153
2007
Alpha-beta witness complexes. Zbl 1209.68577
Attali, Dominique; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
3
2007
Extreme elevation on a 2-manifold. Zbl 1105.52010
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
11
2006
Stability of persistence diagrams. Zbl 1387.68252
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
16
2005
Loops in Reeb graphs of 2-manifolds. Zbl 1071.57017
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
16
2004
Jacobi sets of multiple Morse functions. Zbl 1109.58018
Edelsbrunner, Herbert; Harer, John
12
2004
Time-varying Reeb graphs for continuous space-time data. Zbl 1377.68271
Edelsbrunner, Herbert; Harer, John; Mascarenhas, Ajith; Pascucci, Valerio
6
2004
Extreme elevation on a 2-manifold. Zbl 1377.68258
Agarwal, Pankaj K.; Edelsbrunner, Herbert; Harer, John; Wang, Yusu
4
2004
Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Zbl 1029.57023
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
32
2003
Morse-Smale complexes for piecewise linear 3-manifolds. Zbl 1375.68125
Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
17
2003
Loops in Reeb graphs of 2-manifolds. Zbl 1379.57025
Cole-McLaughlin, Kree; Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay; Pascucci, Valerio
12
2003
A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007
Goulden, I. P.; Harer, J. L.; Jackson, D. M.
12
2001
Hierarchical Morse complexes for piecewise linear 2-manifolds. Zbl 1379.57028
Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra
6
2001
The rational Picard group of the moduli space of Riemann surfaces with spin structure. Zbl 0814.14031
Harer, John L.
6
1993
Combinatorics of train tracks. Zbl 0765.57001
Penner, R. C.; Harer, J. L.
156
1992
The third homology group of the moduli space of curves. Zbl 0725.57005
Harer, John
10
1991
Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Zbl 0715.57004
Harer, John L.
13
1990
The cohomology of the moduli space of curves. Zbl 0707.14020
Harer, John L.
11
1988
The Euler characteristic of the moduli space of curves. Zbl 0616.14017
Harer, J.; Zagier, Don
174
1986
The virtual cohomological dimension of the mapping class group of an orientable surface. Zbl 0592.57009
Harer, John L.
141
1986
Handlebody decompositions of complex surfaces. Zbl 0631.57009
Harer, John; Kas, Arnold; Kirby, Robion
19
1986
Stability of the homology of the mapping class groups of orientable surfaces. Zbl 0579.57005
Harer, John L.
111
1985
The homology of the mapping class group and its connection to surface bundles over surfaces. Zbl 0562.57006
Harer, John
2
1984
The second homology group of the mapping class group of an orientable surface. Zbl 0533.57003
Harer, John
86
1983
How to construct all fibered knots and links. Zbl 0504.57002
Harer, John
33
1982
Representing elements of Pi//\(1M^ 3 \)by fibred knots. Zbl 0501.57004
Harer, John
1
1982
Some homology lens spaces which bound rational homology balls. Zbl 0483.57017
Casson, Andrew J.; Harer, John L.
34
1981
On handlebody structures for hypersurfaces in \(\mathbb{C}^3\) and \(\mathbb{C} P^3\). Zbl 0384.57016
Harer, John
5
1978
all top 5

Cited by 1,365 Authors

17 Penner, Robert C.
15 Edelsbrunner, Herbert
13 Harer, John L.
11 Landi, Claudia
10 Bonahon, Francis
10 Bubenik, Peter
10 Chazal, Frédéric
10 Frosini, Patrizio
9 de Silva, Vin
9 Galatius, Søren
9 Jackson, David M.
9 Mischaikow, Konstantin
9 Morita, Shigeyuki
9 Randal-Williams, Oscar
8 Hiraoka, Yasuaki
8 Leininger, Christopher J.
8 Nanda, Vidit
8 Oudot, Steve Yann
8 Thomas Putman, Andrew
7 Bauer, Ulrich
7 Cohen-Steiner, David
7 Dey, Tamal Krishna
7 di Fabio, Barbara
7 Kerber, Michael
7 Mémoli, Facundo
7 Rafi, Kasra
7 Tillmann, Ulrike
6 Adams, Henry
6 Bini, Gilberto
6 Chapuy, Guillaume
6 Chekhov, Leonid O.
6 Gupta, Subhojoy
6 Harris, Joseph Daniel
6 Margalit, Dan
6 Minsky, Yair N.
6 Mironov, Andrei D.
6 Morozov, Alexei Yurievich
6 Morozov, Dmitrii
6 Mukherjee, Sayan
6 Munch, Elizabeth
6 Reidys, Christian Michael
6 Schleimer, Saul
6 Souto, Juan
6 Stipsicz, András I.
6 Turner, Katharine
5 Adamaszek, Michal
5 Andersen, Jørgen Ellegaard
5 Aramayona, Javier
5 Bernardi, Olivier
5 Bestvina, Mladen
5 Boissonnat, Jean-Daniel
5 Brendle, Tara E.
5 Cerri, Andrea
5 Dłotko, Paweł
5 Fasy, Brittany Terese
5 Ferri, Massimo
5 Fontanari, Claudio
5 González-Díaz, Rocío
5 Goulden, Ian P.
5 Guibas, Leonidas John
5 Kramár, Miroslav
5 Miyachi, Hideki
5 Mrozek, Marian
5 Ohshika, Ken’ichi
5 Park, Jongil
5 Pinto, Alberto Adrego
5 Rand, David A.
5 Series, Caroline
5 Wahl, Nathalie
5 Wang, Yusu
5 Wei, Guowei
5 Yogeshwaran, Dhandapani
4 Adler, Robert Joseph
4 Akbulut, Selman
4 Behrstock, Jason A.
4 Bendich, Paul
4 Bene, Alex James
4 Bremer, Peer-Timo
4 Carlsson, Gunnar E.
4 Chen, Yen-Chi
4 Cunden, Fabio Deelan
4 Curry, Justin Michael
4 Erickson, Jeff
4 Ethier, Marc
4 Ghrist, Robert W.
4 Hatcher, Allen Edward
4 Kaczynski, Tomasz
4 Kališnik Verovšek, Sara
4 Kaufmann, Ralph M.
4 Kawazumi, Nariya
4 Kholodenko, Arkady L.
4 Kim, Dongseok
4 Lesnick, Michael
4 Lieutier, André
4 Lisca, Paolo
4 Lopez, Luis-Miguel
4 Mezzadri, Francesco
4 Mosher, Lee
4 Mulase, Motohico
4 Norbury, Paul T.
...and 1,265 more Authors
all top 5

Cited in 244 Serials

50 Geometry & Topology
49 Discrete & Computational Geometry
40 Topology and its Applications
37 Algebraic & Geometric Topology
28 Journal of Applied and Computational Topology
27 Geometriae Dedicata
27 Inventiones Mathematicae
27 Foundations of Computational Mathematics
24 Advances in Mathematics
23 Transactions of the American Mathematical Society
22 Duke Mathematical Journal
21 Communications in Mathematical Physics
19 Computational Geometry
17 Journal of Knot Theory and its Ramifications
16 Proceedings of the American Mathematical Society
15 Mathematische Annalen
15 Bulletin of the American Mathematical Society. New Series
14 Journal of Pure and Applied Algebra
13 Journal of Geometry and Physics
13 Computer Aided Geometric Design
12 Journal of High Energy Physics
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Annales de l’Institut Fourier
10 Journal of Combinatorial Theory. Series A
10 Geometric and Functional Analysis. GAFA
10 Journal of Mathematical Sciences (New York)
8 Journal für die Reine und Angewandte Mathematik
8 Advances in Applied Mathematics
8 Journal of Topology and Analysis
7 Journal of Mathematical Physics
7 Theoretical and Mathematical Physics
7 Physica D
6 Israel Journal of Mathematics
6 Journal of Mathematical Biology
6 Michigan Mathematical Journal
6 Theoretical Computer Science
6 Journal of the American Mathematical Society
6 Journal of Mathematical Imaging and Vision
6 Journal of Topology
5 Letters in Mathematical Physics
5 Acta Mathematica
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Publications Mathématiques
5 Mathematische Zeitschrift
5 International Journal of Mathematics
5 Experimental Mathematics
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Machine Learning Research (JMLR)
5 SIAM Journal on Applied Algebra and Geometry
4 Computers & Mathematics with Applications
4 Discrete Mathematics
4 Mathematical Methods in the Applied Sciences
4 Nuclear Physics. B
4 The Annals of Statistics
4 Commentarii Mathematici Helvetici
4 Journal of Algebra
4 Osaka Journal of Mathematics
4 European Journal of Combinatorics
4 Japan Journal of Industrial and Applied Mathematics
4 Expositiones Mathematicae
4 Applicable Algebra in Engineering, Communication and Computing
4 Selecta Mathematica. New Series
4 Journal of Homotopy and Related Structures
3 Communications in Algebra
3 Journal of Statistical Physics
3 Bulletin of Mathematical Biology
3 Journal of Combinatorial Theory. Series B
3 Journal of Differential Equations
3 Manuscripta Mathematica
3 Journal of Symbolic Computation
3 The Annals of Applied Probability
3 Topology Proceedings
3 Theory and Applications of Categories
3 Journal of Difference Equations and Applications
3 Annals of Mathematics. Second Series
3 Annales Henri Poincaré
3 Oberwolfach Reports
3 Mathematics in Computer Science
3 Advances in Data Analysis and Classification. ADAC
3 Journal of Noncommutative Geometry
3 Groups, Geometry, and Dynamics
2 Advances in Applied Probability
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Mathematical Biosciences
2 Chaos, Solitons and Fractals
2 Bulletin of the London Mathematical Society
2 Functional Analysis and its Applications
2 Journal of the American Statistical Association
2 Journal of Computer and System Sciences
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Ergodic Theory and Dynamical Systems
2 Acta Applicandae Mathematicae
2 ACM Transactions on Graphics
2 Probability Theory and Related Fields
2 Algorithmica
2 Applied Mathematics Letters
...and 144 more Serials
all top 5

Cited in 54 Fields

423 Manifolds and cell complexes (57-XX)
256 Algebraic topology (55-XX)
152 Computer science (68-XX)
140 Group theory and generalizations (20-XX)
129 Algebraic geometry (14-XX)
120 Combinatorics (05-XX)
112 Functions of a complex variable (30-XX)
112 Several complex variables and analytic spaces (32-XX)
79 Dynamical systems and ergodic theory (37-XX)
69 Quantum theory (81-XX)
67 Statistics (62-XX)
65 Differential geometry (53-XX)
60 Probability theory and stochastic processes (60-XX)
58 Numerical analysis (65-XX)
53 Global analysis, analysis on manifolds (58-XX)
42 Biology and other natural sciences (92-XX)
29 Category theory; homological algebra (18-XX)
25 Convex and discrete geometry (52-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
22 Number theory (11-XX)
22 General topology (54-XX)
18 Information and communication theory, circuits (94-XX)
17 Associative rings and algebras (16-XX)
17 Relativity and gravitational theory (83-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Nonassociative rings and algebras (17-XX)
11 Functional analysis (46-XX)
10 General and overarching topics; collections (00-XX)
10 Topological groups, Lie groups (22-XX)
9 Commutative algebra (13-XX)
9 Measure and integration (28-XX)
9 Partial differential equations (35-XX)
9 Geometry (51-XX)
9 Operations research, mathematical programming (90-XX)
6 Approximations and expansions (41-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
4 Ordinary differential equations (34-XX)
4 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Special functions (33-XX)
3 Operator theory (47-XX)
3 Mechanics of deformable solids (74-XX)
3 Fluid mechanics (76-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Field theory and polynomials (12-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

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