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Bismut, Jean-Michel
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Coherent Sheaves, Superconnections, and Riemann-Roch-Grothe.. 

Progress in Mathematics, 347
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - 1st ed. 2023 . , 2023
Link: https://doi.org/10.1007/..
 
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2

The hypoelliptic superconnection forms:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 145-147 , 2023
Link: https://doi.org/10.1007/..
 
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3

A proof of Theorem 10.1.1 when $$\overline{\partial}^{X} \p..:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 117-123 , 2023
Link: https://doi.org/10.1007/..
 
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4

The hypoelliptic superconnection forms when $$\overline{\pa..:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 149-161 , 2023
Link: https://doi.org/10.1007/..
 
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5

Antiholomorphic superconnections and generalized metrics:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 61-65 , 2023
Link: https://doi.org/10.1007/..
 
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6

The antiholomorphic superconnections of Block:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 29-42 , 2023
Link: https://doi.org/10.1007/..
 
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7

Elliptic superconnection forms and direct images:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 109-115 , 2023
Link: https://doi.org/10.1007/..
 
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8

Introduction:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 1-6 , 2023
Link: https://doi.org/10.1007/..
 
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9

Bott-Chern cohomology and characteristic classes:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 7-13 , 2023
Link: https://doi.org/10.1007/..
 
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10

The derived category $${\text{D}}_{{{\text{coh}}}}^{{\text{..:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 15-17 , 2023
Link: https://doi.org/10.1007/..
 
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11

Preliminaries on linear algebra and differential geometry:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 19-28 , 2023
Link: https://doi.org/10.1007/..
 
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12

Submersions and elliptic superconnection forms:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 95-107 , 2023
Link: https://doi.org/10.1007/..
 
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13

Generalized metrics and Chern character forms:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 67-84 , 2023
Link: https://doi.org/10.1007/..
 
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14

Exotic superconnections and Riemann-Roch-Grothendieck:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 163-173 , 2023
Link: https://doi.org/10.1007/..
 
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15

The case of embeddings:

, In: Progress in Mathematics; Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck,
Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting - p. 85-93 , 2023
Link: https://doi.org/10.1007/..
 
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