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Betti number
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1	BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS MICHAEL FREEDMAN, RICHARD HAIN, AND PETER TEICHNER Abstract. We prove an extension of the following result of Lubotzky and Madid on the rational cohomology of a nilpotent group Add to Reading List Source URL: people.mpim-bonn.mpg.de - Date: 2012-08-01 06:52:27
2	583 Documenta Math. A Common Recursion For Laplacians of Matroids and Shifted Simplicial Complexes Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2005-12-23 13:25:06 Mathematics Topology Algebraic topology Algebra Matroid theory Matroid Simplicial complex Betti number Tutte polynomial Partition matroid Simplicial set
3	Multi-Field Persistent Homology Jean-Daniel Boissonnat & Cl´ement Maria JGA 2013 1Introduction Add to Reading List Source URL: quentin.mrgt.fr Language: English - Date: 2014-01-09 09:41:45 Mathematics Homology Z3 Betti number Z2
4	THE FIRST L2 -BETTI NUMBER AND APPROXIMATION IN ARBITRARY CHARACTERISTIC arXiv:1206.0474v3 [math.GR] 24 Feb 2014 ¨ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2014-02-25 01:24:22 Mathematics Algebra Geometry Group theory Infinite group theory Geometric group theory Topological groups Profinite group Betti number Presentation of a group Index of a subgroup Residually finite group
5	APPROXIMATING THE FIRST L2 -BETTI NUMBER OF RESIDUALLY FINITE GROUPS arXiv:1011.4739v2 [math.GR] 16 Dec 2010 ¨ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2016-01-10 05:46:25 Geometry Mathematics Algebra Group theory Combinatorics on words Infinite group theory Geometric group theory Topological groups Residually finite group Hyperbolic group Betti number Generating set of a group
6	APPROXIMATING L2 -INVARIANTS AND HOMOLOGY GROWTH arXiv:1203.2827v3 [math.AT] 17 Oct 2012 ¨ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2012-10-18 02:30:08 Algebra Abstract algebra Mathematics Group theory Whitehead torsion Torsion Presentation of a group Betti number Cohomology Amenable group Index of a subgroup Free abelian group
7	Morse Homology and Novikov Homology by Maxim van Oldenbeek Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2015-09-28 07:17:58 Homology theory Morse theory Morse homology Homology Betti number Singular homology Manifold Cohomology Gradient-like vector field Chain complex Floer homology Continuation map
8	Invent. math. 174, 555–DOI: s00222x Mixed Hodge polynomials of character varieties With an appendix by Nicholas M. Katz Tam´as Hausel1 , Fernando Rodriguez-Villegas2 Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2008-11-27 11:43:31 Homological algebra Hodge theory Conjectures Algebraic geometry Polynomials Hodge structure Lefschetz hyperplane theorem Macdonald polynomials Weil conjectures Betti number Finite field Hodge conjecture
9	Summer School Novikov Morse Theory for Closed 1-Forms Kloster Steinfeld, 10. — 15. SeptemberGraduiertenkolleg 1150: Homotopy and Cohomology Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2006-12-15 13:47:30 Morse theory Algebraic topology Commutative algebra Novikov ring Ring theory Symplectic geometry Moment map Betti number Cohomology Manifold Sheaf Surgery theory
10	Topological Trajectory Clustering with Relative Persistent Homology Florian T. Pokorny, Ken Goldberg and Danica Kragic Abstract— Cloud Robotics techniques based on Learning from Demonstrations suggest promising alterna Add to Reading List Source URL: goldberg.berkeley.edu Language: English - Date: 2016-02-18 12:16:07 Topology Mathematics Algebra Algebraic topology Persistent homology Homology Simplicial complex Betti number Triangulation Simplex CW complex Chain complex

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