Publications of John Harer     :recent first  combined  bibtex listing:

Books

1. Penner, R. C. and Harer, J. L., Combinatorics of train tracks, pp. xii+216, 1992, Princeton University Press, Princeton, NJ [MR94b:57018]
2. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (2008)  [abs]

Papers Published

1. Harer, John, On handlebody structures for hypersurfaces in C³ and CP³, Math. Ann., vol. 238, no. 1, pp. 51--58, 1978 [MR80d:57020]
2. Casson, Andrew J. and Harer, John L., Some homology lens spaces which bound rational homology balls, Pacific J. Math., vol. 96, no. 1, pp. 23--36, 1981 [MR83h:57013]
3. Harer, John, Representing elements of pi₁(M³) by fibred knots, Math. Proc. Cambridge Philos. Soc., vol. 92, no. 1, pp. 133--138, 1982 [MR83j:57005]
4. Harer, John, How to construct all fibered knots and links, Topology, vol. 21, no. 3, pp. 263--280, 1982 [MR83e:57007]
5. Harer, John, The second homology group of the mapping class group of an orientable surface, Invent. Math., vol. 72, no. 2, pp. 221--239, 1983 [MR84g:57006]
6. Harer, John, The homology of the mapping class group and its connection to surface bundles over surfaces, Four-manifold theory (Durham, N.H., 1982), pp. 311--314, 1984, Amer. Math. Soc., Providence, RI [MR86c:57010]
7. Harer, John L., Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. (2), vol. 121, no. 2, pp. 215--249, 1985 [MR87f:57009]
8. Geometry and topology, Proceedings of the special year held at the University of Maryland, College Park, Md., 1983/84, edited by Alexander, J. and Harer, J., pp. vi+292, 1985, Springer-Verlag, Berlin [MR87a:57003]
9. Harer, John and Kas, Arnold and Kirby, Robion, Handlebody decompositions of complex surfaces, Mem. Amer. Math. Soc., vol. 62, no. 350, pp. iv+102, 1986 [MR88e:57030]
10. Harer, J. and Zagier, D., The Euler characteristic of the moduli space of curves, Invent. Math., vol. 85, no. 3, pp. 457--485, 1986 [MR87i:32031]
11. Harer, John L., The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math., vol. 84, no. 1, pp. 157--176, 1986 [MR87c:32030]
12. Harer, John L., The cohomology of the moduli space of curves, Theory of moduli (Montecatini Terme, 1985), pp. 138--221, 1988, Springer, Berlin [MR90a:32026]
13. Harer, John L., Stability of the homology of the moduli spaces of Riemann surfaces with spin structure, Math. Ann., vol. 287, no. 2, pp. 323--334, 1990 [MR91e:57002]
14. Harer, John, The third homology group of the moduli space of curves, Duke Math. J., vol. 63, no. 1, pp. 25--55, 1991 [MR92d:57012]
15. Harer, John L., The rational Picard group of the moduli space of Riemann surfaces with spin structure, Mapping class groups and moduli spaces of Riemann surfaces (Gottingen, 1991/Seattle, WA, 1991), pp. 107--136, 1993, Amer. Math. Soc., Providence, RI [MR94h:14008]
16. Goulden, I. P. and Harer, J. L. and Jackson, D. M., A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves, Trans. Amer. Math. Soc., vol. 353, no. 11, pp. 4405--4427 (electronic), 2001 [MR1851176]
17. H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.  [abs]
18. P. Agarwal, A. Collins and J. Harer, Minimal Trap Design, Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA), (2001)  [abs]
19. with H. Edelsbrunner., Jacobi sets of multiple Morse functions., Foundations of Computational Mathematics, Minneapolis, eds. F. Cucker, R. DeVore, P. Olver and E. Sueli, Cambridge Univ. Press, England, (2002), pp. 37-57  [abs]
20. with P. Agarwal and A. Collins, HPRM: A Hierarchical PRM, Proc. Intl. Conf. Robotics and Automation (2003)  [abs]
21. with H. Edelsbrunner, V. Natarajan and V. Pascucci., Morse-Smale complexes for piecewise linear 3-manifolds., Proc. 19th Ann. Sympos. Comput. Geom. (2003), pp. 361-370.  [abs]
22. with P. K. Agarwal, H. Edelsbrunner, and Y. Wang, Extreme elevation on a 2-manifold., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 357-365  [abs]
23. with H. Edelsbrunner, A. Mascarenhas and V. Pascucci, Time-varying Reeb graphs for continuous space-time data., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 366-372.  [abs]
24. with K. Cole-McLaughlin, H. Edelsbrunner, V. Natarajan and V. Pascucci, Loops in Reeb graphs of 2-manifolds., Discrete Comput. Geom., vol. 32 (2004), pp. 231-244.  [abs]
25. with H. Edelsbrunner, V. Natarajan, V. Pascucci., Local and Global Comparison of Continuous Functions, Proc. IEEE Conf. Visualization, 2004, 275-280. (2004), pp. 275-280  [abs]
26. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120  [abs] [author's comments]
27. H. Edelsbrunner and J. Harer, Persistent homology --- a survey., In Twenty Years After, eds. J. E. Goodman, J. Pach and R. Pollack, AMS. (2007) [pdf]  [abs]
28. D. Attali, H. Edelsbrunner, J. Harer, Y. Milokov, Alpha-beta witness complexes, Proc. 10th Workshop Algor. Data Struct., 2007, Springer LNCS 4619, 386-397. (2007)  [abs]
29. P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Inferring local homology from sampled stratified spaces., Proc. 48th Ann. Sympos. Found. Comput. Sci. (2008), pp. 536-546 [available here]  [abs]

Papers Accepted

1. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and Y. Mileyko., Lipschitz functions have L_p-stable persistence., Foundations of Computional Mathematics (2008) [available here]  [abs]
2. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality., Found. Comput. Math. (2008) [available here]  [abs]
3. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Persistent homology for kernels, images, and cokernels., Proc. Sympos. Discret Alg. (2009) [available here]  [abs]

Papers Submitted

1. G. Bini, J. Harer, The Regular and Orbifold Euler Characteristics of the Compactified Moduli Space of Curves, Topology (2005)

Preprints

1. John Harer, The Euler Characteristic of the Deligne-Mumford Compactification of the Moduli Space of Curves, 1996 , preprint 1996
2. John Harer, Algorithms for Enumerating Triangulations and Other Maps in Surfaces, 1998 , preprint 1998
3. John Harer, An Alternative Approach to Trap Design for Vibratory Bowl Feeders, 1998 , preprint 1998
4. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2007)
5. P. Bendich and J. Harer, Persistence for Intersection Homology - Theoretical Foundations (2008)  [abs]
6. H. Edelsbrunner, J. Harer and A. Patel, Reeb Surfaces (2008)  [abs]
7. P. Bendich, J. Harer and H. King, Persistent Intersection Homology (2008)
8. Mehak Aziz, Siobhan M. Brady, David Orlando, Appu Kuruvilla, Scott Spillias, José R. Dinneny, Terri A. Long, John Harer, Uwe Ohler, Philip N. Benfey, Gene Expression Clustering Analysis: How to Choose the Best Parameters and Clustering Algorithm (2008)  [abs]
9. A. HB and J. Harer, Persistent Steifel Whitney Classes (2008)  [abs]

Other

1. with H. Edelsbrunner, Persistent Morse Complex Segmentation of a 3-Manifold, Raindrop Geomagic Technical Report, vol. 066 (2004)  [abs] [author's comments]