James L. Heitsch
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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 |
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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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