Titlebook: Hypoelliptic Laplacian and Bott–Chern Cohomology; A Theorem of Riemann Jean-Michel Bismut Book 2013 Springer Basel 2013 Riemann-Roch theore

障礙物

Werte schaffen durch M&A-TransaktionenThe purpose of this chapter is to establish the main result of this book, i.e., we give a Riemann-Roch-Grothendieck formula for the class . (.,.). When ., this result was already established in Theorem 5.2.1 using elliptic superconnections. The introduction in . of hypoelliptic superconnections did not allow us to eliminate this assumption.

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The Riemannian adiabatic limit,The purpose of this chapter is to study the adiabatic limit of the Levi-Civita connection on a fibred manifold. This study was initiated in [B86a], and continued in Bismut-Cheeger [BC89], Berline-Getzler-Vergne [BeGeV92], Berthomieu-Bismut [BerB94] and Bismut [B97].

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分發(fā)

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PURG

The hypoelliptic superconnections,The purpose of this chapter is to extend the results of [B08, section 3] to the case where .. is not supposed to be closed. More precisely, let . :. be the total space of ., and let . :. be the obvious projection with fibre ..

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敏捷

The hypoelliptic superconnection forms when ,,The purpose of this chapter is to study the hypoelliptic superconnection forms of . in the case where .. In particular, we show that, as in the elliptic case, the form . can be explicitly computed.

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