James L. Heitsch

Professor Emeritus of Mathematics

Mathematics, Statistics, and Computer Science
The University of Illinois at Chicago
851 South Morgan Street (M/C 249)
Chicago, Illinois 60607-7045


Office: 627 Science & Engineering Offices

Department: (312) 996-3041
Fax: (312) 996-1491
Email: heitsch@uic.edu


Recent Papers

Higher relative index theorems for foliations, a superconnection approach
(with M.-T. Benameur), submitted
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Higher relative index theorems for foliations
(with M.-T. Benameur), submitted
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The higher fixed point theorem for foliations. Applications to rigidity and integrality
(with M.-T. Benameur), Ann. Funct. Anal. {\bf 19} 79 (2024)
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Dirac operators on foliations with transverse invariant measures
(with M.-T. Benameur), Journal of Functional Analysis 284 (2023} 109742
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Geometric Non-Commutative Geometry
(with M.-T. Benameur), Expositiones Mathematicae 39 (2021) 454-479
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Enlargeability, foliations, and positive scalar curvature
(with M.-T. Benameur), Inventiones mathematicae 215 (2019) 367-382
DOI: 10.1007/s00222-018-0829-6
 
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Atiyah covering index theorem for Riemannian foliations
(with M.-T. Benameur), Transactions of the AMS 371 (2019) 5875-5897
DOI: https://doi.org/10.1090/tran/7731
 
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Transverse noncommutative geometry of foliations
(with M.-T. Benameur), J. of Geometry and Physics 134 (2018) 161-194
DOI: https://doi.org/10.1016/j.geomphys.2018.08.011
 
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A Symbol Calculus for Foliations
(with M.-T. Benameur), Journal of Noncommutative Geometry 11 (2017) 1141-1194
 
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An Interesting Example for Spectral Invariants
(with M.-T. Benameur & Charlotte Wahl), Journal of K-Theory 13 (2014) 305-311.
 
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Leafwise Homotopy Equivalences and Leafwise Sobolov Spaces
(with M.-T. Benameur), Journal of K-Theory 9 (2012) 503-520.
 
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The Twisted Higher Harmonic Signature for Foliations
(with M.-T. Benameur), Journal of Differential Geometry 87 (2011), 389-468.
 
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Minicourse on The Twisted Higher Harmonic Signature for Foliations
 
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The Higher Fixed Point Theorem for Foliations I. Holonomy Invariant Currents
(with M.-T. Benameur), Journal of Functional Analysis 259 (2010), 131-173.
 
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The Lefschetz Principle, Fixed Point Theory, and Index Theory,
in A Celebration of the Mathematical Legacy of Raoul Bott,
CRM Proceedings and Lecture Notes, Vol. 50, AMS, (2010) 109-123.
 
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Index Theory and Non-Commutative Geometry, II:
Dirac operators and index bundles (with M.-T. Benameur),
Journal of K-Theory 1 (2008) 305-356.
 
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Index Theory and Non-Commutative Geometry, I:
Higher Families Index Theory (with M.-T. Benameur), K-Theory 33 (2004) 151-183
 
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Coarse Cohomology for Foliations: The General Case,
Illinois J. Math. 46 (2002), 1061-1076
 
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Riemann-Roch-Grothendieck and Torsion for Foliations,
(with Connor Lazarov), J. Geo. Anal. 12 (2002), 437-468
 
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Coarse Cohomology for Families (with Steve Hurder),
Illinois J. Math. 45 (2001), 323-360.
 
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Traces and Invariants for Non-Compact Manifolds,
Foliations: Geometry and Dynamics, Warsaw 2000, World Scientific
 
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Coarse Sheaf Cohomology for Foliations,
Illinois J. Math. 44 (2000), 860-867.
 
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Coarse Sheaf Cohomology for Foliations-Corrigendum,
Illinois J. Math. 46 (2002), 1077-1078.
 
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A General Families Index Theorem (with Connor Lazarov),
K-Theory 18 (1999), 181-202.
 
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Last modified February 14, 2014