Twisted analytic torsion and adiabatic limits

Ryan Mickler

doi:10.1090/proc/12673

Twisted analytic torsion and adiabatic limits

Proceedings of the American Mathematical Society ◽

10.1090/proc/12673 ◽

2015 ◽

Vol 143 (12) ◽

pp. 5455-5469

Author(s):

Ryan Mickler

Keyword(s):

Analytic Torsion ◽

Adiabatic Limits

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Analytic torsion and R-torsion of Riemannian manifolds

Advances in Mathematics ◽

10.1016/0001-8708(78)90116-0 ◽

1978 ◽

Vol 28 (3) ◽

pp. 233-305 ◽

Cited By ~ 149

Author(s):

Werner Müller

Keyword(s):

Riemannian Manifolds ◽

Analytic Torsion

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Low Energy Resolvent for the Hodge Laplacian: Applications to Riesz Transform, Sobolev Estimates, and Analytic Torsion

International Mathematics Research Notices ◽

10.1093/imrn/rnu119 ◽

2014 ◽

Vol 2015 (15) ◽

pp. 6136-6210 ◽

Cited By ~ 5

Author(s):

Colin Guillarmou ◽

David A. Sher

Keyword(s):

Riesz Transform ◽

Low Energy ◽

Analytic Torsion ◽

Hodge Laplacian ◽

Sobolev Estimates

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The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle

Communications in Mathematical Physics ◽

10.1007/bf01217912 ◽

1989 ◽

Vol 125 (2) ◽

pp. 355-367 ◽

Cited By ~ 29

Author(s):

Jean-Michel Bismut ◽

Eric Vasserot

Keyword(s):

Line Bundle ◽

Analytic Torsion ◽

Positive Line Bundle ◽

Positive Line

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Burghelea-Haller analytic torsion of $\mathbb {Z}_{2}$-graded elliptic complexes

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2014-11951-4 ◽

2014 ◽

Vol 142 (7) ◽

pp. 2559-2568

Author(s):

Guangxiang Su

Keyword(s):

Analytic Torsion ◽

Elliptic Complexes

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K 3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

Inventiones mathematicae ◽

10.1007/s00222-003-0334-3 ◽

2004 ◽

Vol 156 (1) ◽

pp. 53-117 ◽

Cited By ~ 17

Author(s):

Ken-Ichi Yoshikawa

Keyword(s):

Moduli Space ◽

Automorphic Forms ◽

Analytic Torsion

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Adiabatic limits of Ricci-flat Kähler metrics

Journal of Differential Geometry ◽

10.4310/jdg/1274707320 ◽

2010 ◽

Vol 84 (2) ◽

pp. 427-453 ◽

Cited By ~ 25

Author(s):

Valentino Tosatti

Keyword(s):

Kähler Metrics ◽

Kahler Metrics ◽

Adiabatic Limits ◽

Ricci Flat

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Analytic torsion of Hirzebruch surfaces

Mathematische Annalen ◽

10.1007/s00208-006-0749-4 ◽

2006 ◽

Vol 335 (1) ◽

pp. 221-247 ◽

Cited By ~ 1

Author(s):

Christophe Mourougane

Keyword(s):

Analytic Torsion ◽

Hirzebruch Surfaces

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Analytic Torsion, Flows and Foliations

Hamiltonian Dynamical Systems - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-8448-9_13 ◽

1995 ◽

pp. 181-193

Author(s):

Stephane Laederich

Keyword(s):

Analytic Torsion

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Refined analytic torsion on manifolds with boundary

Geometry & Topology ◽

10.2140/gt.2009.13.1989 ◽

2009 ◽

Vol 13 (4) ◽

pp. 1989-2027 ◽

Cited By ~ 6

Author(s):

Boris Vertman

Keyword(s):

Analytic Torsion ◽

Manifolds With Boundary

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Analytic torsion for group actions

Recent Developments in Geometry - Contemporary Mathematics ◽

10.1090/conm/101/1034981 ◽

1989 ◽

pp. 179-189

Author(s):

John Lott

Keyword(s):

Group Actions ◽

Analytic Torsion

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