By Morris J., Lycett J.

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Extra resources for A monograph of the Mollusca from the Great Oolite, chiefly from Minchinhampton and the Coast of Yorkshire. Part I. Univalves

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And, since (M M, −σ ⊕ σ ) ∼ 0, through a cobordism (M × I, ω), we have also that (M W, −σ ⊕ i! (σ )) ∼ 0, that is, (M, σ ) ∼ (W, i! (σ )). From the cobordism invariance of the index, we conclude that ind(σ ) = ind(i! (σ )). Acknowledgements This work is part of a D. Phil thesis, defended at the University of Oxford in 2003. I would like to thank my supervisors Prof Ulrike Tillmann and Prof Victor Nistor, from the Pennsylvania State University, for their encouragement and support, and my thesis examiners for useful comments.

21. 22. 23. 24. 31 Atiyah, M. : The index of elliptic operators IV, Ann. Math. 93 (1971), 119–138. : New proof of the cobordism invariance of the index, Proc. Am. Math. Soc. 130(4) (2002), 1095–1101. : Index theorem for equivariant Dirac operators on non-compact manifolds, K-Theory 27(1) (2002), 61–101. , Guillemin, V. : Moment Maps, Cobordisms, and Hamiltonian Group Actions, Mathematical Surveys and Monographs, 98. American Mathematical Society, Providence, RI, 2002. : A note on the cobordism invariance of the index, Topology 30(3) (1991), 439–443.

Annals of Math. Studies, 57. Princeton University Press, Princeton, New Jersey, 1965. Shubin, M. : Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin, Heidelberg, 2001. : Pseudodifferential Operators, Princeton Mathematical Series 34, Princeton University Press, Princeton, New Jersey, 1981. : Introduction to Pseudodifferential and Fourier Integral Operators, Plenum Press, New York, 1980. : Differential Analysis on Complex Manifolds, Springer-Verlag, New York, 1980.

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