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Higher Index Theory
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Authors: Rufus Willett
Categories: Mathematics
Type: BOOK - Published: 2020-07-02 - Publisher: Cambridge University Press

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Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to ph
Higher Topos Theory
Language: en
Pages: 944
Authors: Jacob Lurie
Categories: Mathematics
Type: BOOK - Published: 2009-07-26 - Publisher: Princeton University Press

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In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show
Index Theory, Coarse Geometry, and Topology of Manifolds
Language: en
Pages: 114
Authors: John Roe
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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Lecture notes from the conference held Aug. 1995 in Boulder, Colo.
Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds
Language: en
Pages: 338
Authors: Gerd Grubb
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operat
Cyclic Cohomology at 40: Achievements and Future Prospects
Language: en
Pages: 592
Authors: A. Connes
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Type: BOOK - Published: 2023-02-23 - Publisher: American Mathematical Society

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This volume contains the proceedings of the virtual conference on Cyclic Cohomology at 40: Achievements and Future Prospects, held from September 27–October 1