η Forms and determinant lines

Simon Scott

doi:10.1016/j.aim.2010.05.003

η Forms and determinant lines

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a canonical zeta function (Quillen) connection on the determinant line bundle for a family of APS elliptic boundary value problems and show that its curvature is the 2-form component of a relative eta form. (C) 2010 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	2517 - 2545
Number of pages	29
Journal	ADVANCES IN MATHEMATICS
Volume	225
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2010.05.003
Publication status	Published - Dec 2010

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title = "η Forms and determinant lines",

abstract = "We construct a canonical zeta function (Quillen) connection on the determinant line bundle for a family of APS elliptic boundary value problems and show that its curvature is the 2-form component of a relative eta form. (C) 2010 Elsevier Inc. All rights reserved.",

author = "Simon Scott",

year = "2010",

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doi = "10.1016/j.aim.2010.05.003",

language = "English",

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AB - We construct a canonical zeta function (Quillen) connection on the determinant line bundle for a family of APS elliptic boundary value problems and show that its curvature is the 2-form component of a relative eta form. (C) 2010 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.aim.2010.05.003

DO - 10.1016/j.aim.2010.05.003

M3 - Article

VL - 225

SP - 2517

EP - 2545

JO - ADVANCES IN MATHEMATICS

JF - ADVANCES IN MATHEMATICS

IS - 5

ER -

η Forms and determinant lines

Abstract

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