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Publications of John Harer     :chronological  combined  bibtex listing:

Books

  1. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (2007)  [abs]
  2. Penner, R. C. and Harer, J. L., Combinatorics of train tracks, pp. xii+216, 1992, Princeton University Press, Princeton, NJ [MR94b:57018]

Papers Published

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. 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]
  8. with P. Agarwal and A. Collins, HPRM: A Hierarchical PRM, Proc. Intl. Conf. Robotics and Automation (2003)  [abs]
  9. 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]
  10. 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]
  11. P. Agarwal, A. Collins and J. Harer, Minimal Trap Design, Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA), (2001)  [abs]
  12. H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.  [abs]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. Harer, John, How to construct all fibered knots and links, Topology, vol. 21, no. 3, pp. 263--280, 1982 [MR83e:57007]
  27. 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]
  28. Harer, John, On handlebody structures for hypersurfaces in C3 and CP3, Math. Ann., vol. 238, no. 1, pp. 51--58, 1978 [MR80d:57020]

Papers Accepted

  1. P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Inferring Local Homology from Sampled Stratified Spaces, Foundations of Computational Science (2007)
  2. David Cohen-Steiner, Herbert Edelsbrunner, J. Harer, Extending Persistence Using Poincare' Duality, Foundations of Computational Mathematics (2007)  [abs]

Papers Submitted

  1. D. Cohen-Steiner, H. Edelsbrunner, J . Harer, and Yuriy Mileyko, Lipschitz functions have Lp-stable persistence, Foundations of Computational Mathematics (2007)  [abs]
  2. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Persistent Homology for Kernels and Images, Society of Computational Geometry (2007)  [abs]
  3. G. Bini, J. Harer, The Regular and Orbifold Euler Characteristics of the Compactified Moduli Space of Curves, Topology (2005)

Preprints

  1. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2007)
  2. H. Edelsbrunner, J. Harer and A. Patel, Reeb Surfaces (2006)  [abs]
  3. P. Bendich, J. Harer and H. King, Persistence for Intersection Homology (2006)  [abs]
  4. John Harer, Algorithms for Enumerating Triangulations and Other Maps in Surfaces, 1998 , preprint 1998
  5. John Harer, An Alternative Approach to Trap Design for Vibratory Bowl Feeders, 1998 , preprint 1998
  6. John Harer, The Euler Characteristic of the Deligne-Mumford Compactification of the Moduli Space of Curves, 1996 , preprint 1996

Other

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

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