Persistent Homology

• D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov. Persistent homology for kernels, images, and cokernels. In. ``Proc. Sympos. Discret Alg., 2009'', 1011-1020. pdf-file
• D. Cohen-Steiner, H. Edelsbrunner, J. Harer and Y. Mileyko. Lipschitz functions have L_p-stable persistence. Found. Comput. Math., to appear. pdf-file
• P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov. Inferring local homology from sampled stratified spaces. In. ``Proc. 48th Ann. Sympos. Found. Comput. Sci., 2007'', 536-546. pdf-file
• D. Cohen-Steiner, H. Edelsbrunner and J. Harer. Extending persistence using Poincare and Lefschetz duality. Found. Comput. Math. 9 (2009), 79-103. pdf-file Erratum 133-134. pdf-file
• H. Edelsbrunner, D. Morozov and V. Pascucci. Persistence-sensitive simplification of functions on 2-manifolds. In. ``Proc. 22nd Ann. Sympos. Comput. Geom., 2006'', 127-134. pdf-file
• D. Cohen-Steiner, H. Edelsbrunner and D. Morozov. Vines and vineyards by updating persistence in linear time. In. ``Proc. 22nd Ann. Sympos. Comput. Geom., 2006'', 119-126. pdf-file
• D. Cohen-Steiner and H. Edelsbrunner. Inequalities for the curvature of curves and surfaces. Found. Comput. Math. 7 (2007), 391-404. pdf-file
• D. Cohen-Steiner, H. Edelsbrunner and J. Harer. Stability of persistence diagrams. Discrete Comput. Geom. 37 (2007), 103-120. pdf-file
• H. Edelsbrunner, D. Letscher and A. Zomorodian. Topological persistence and simplification. Discrete Comput. Geom. 28 (2002), 511-533. pdf-file

Morse Functions

• H. Edelsbrunner, J. Harer, A. Mascarenhas, V. Pascucci and J. Snoeyink.. Time-varying Reeb graphs for continuous space-time data. Comput. Geom. Theory Appl. 41 (2008), 149-166. pdf-file
• H. Edelsbrunner. Surface tiling with differential topology. In ``Proc. 3rd Eurographics Sympos. Geom. Process., 2005'', 9-11. pdf-file
• K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan and V. Pascucci. Loops in Reeb graphs of 2-manifolds. Discrete Comput. Geom. 32 (2004), 231-244. pdf-file
• P.-T. Bremer, V. Pascucci, H. Edelsbrunner and B. Hamann. Topological hierarchy for functions on triangulated surfaces. IEEE Trans. Vis. Comput. Graphics 10 (2004), 385-396. pdf-file
• H. Edelsbrunner, J. Harer, V. Natarajan and V. Pascucci. Morse-Smale complexes for piecewise linear 3-manifolds. In ``Proc. 19th Ann. Sympos. Comput. Geom. 2003'', 361-370. pdf-file
• V. Natarajan and H. Edelsbrunner. Simplication of three-dimensional density maps. IEEE Trans. Visual. Comput. Graphics 10 (2004}, 587-597. pdf-file
• H. Edelsbrunner, J. Harer and A. Zomorodian. Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds. Discrete Comput. Geom. 30 (2003), 87-107. pdf-file
• U. Axen and H. Edelsbrunner. Auditory Morse analysis of triangulated manifolds. Mathematical Visualization, 223-236, ed. H.-C. Hege and K. Polthier, Springer-Verlag, Berlin, Germany, 1998. pdf-file

Smooth Mappings

• H. Edelsbrunner, D. Morozov and A. K. Patel. Quantifying transversality by measuring the robustness of intersections. Manuscript, Department of Computer Science, Duke University, Durham, North Carolina, 2009. pdf-file
• H. Edelsbrunner, D. Morozov and A. K. Patel. The stability of the apparent contour of an orientable 2-manifold. In ``Workshop Top. Methods in Data Anal. Visual., 2009'', to appear. pdf-file
• H. Edelsbrunner, J. Harer and A. K. Patel. Reeb spaces of piecewise linear mappings. In ``Proc. 24th Ann. Sympos. Comput. Geom., 2008'', 242-250. pdf-file
• H. Edelsbrunner, J. Harer, V. Natarajan and V. Pascucci. Local and global comparison of continuous functions. In ``Proc. IEEE Conf. Visualization, 2004'', 275--280. pdf-file
• H. Edelsbrunner and J. Harer. Jacobi sets of multiple Morse functions. In Foundations of Computational Mathematics, Minneapolis 2002, eds. F. Cucker, R. DeVore, P. Olver and E. Sueli, Cambridge Univ. Press, England, 37-57. pdf-file

Curves

• P. Agarwal, H. Edelsbrunner and Y. Wang. Computing the writhing number of a polygonal knot. Discrete Compput. Geom. 32 (2004), 37-53. pdf-file
• H. Edelsbrunner and A. Zomorodian. Computing linking numbers of a filtration. Homology, Homotopy, and Applications 5 (2003), 19-37. pdf-file