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Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, a bordism invariant of string manifolds in dimensions $4m-1$.
On the groups J ( X ) J(X) . I
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Algebraic topology and modular forms
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Supplementary notes for math 512 (version 0.18), 2007. http://www.math.uiuc.edu/ rezk/512-spr2001-notes.pdf
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Computation of the homotopy of the spectrum tmf
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The f-invariant and index theory, 2008. http://front.math.ucdavis.edu/0808.0257
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Uniqueness of smooth extensions of generalized cohomology theories, 2009, http://www.citebase.org/abstract?id=oai:arXiv.org:0901.4423
U. Bunke and T. Schick · 2009
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Index theory, eta forms, and Deligne cohomology
U. Bunke · 2009
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String structures and trivialisations of a pfaffian line bundle, 2009. http://front.math.ucdavis.edu/0909.0846
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Stacks and complex oriented cohomology theories
M. Hopkins · 2007
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Multiplicative orientations of KO-theory and of the spectrum of topological modular forms, www.math.uiuc.edu/ ∼ \sim mando
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String connections and Chern-Simons theory, http://arxiv.org/abs/0906.0117
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U. Bunke · 2009
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Topological modular forms (after Hopkins, Miller and Lurie)
P. G. Goerss · 2009
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String structures and canonical 3-forms. http://front.math.ucdavis.edu/0912.2086
C. Redden · 2086
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