An analogue of the Novikov Conjecture in complex algebraic geometry

DOI10.1090/S0002-9947-07-04320-6zbMath1129.14026arXivmath/0509526OpenAlexW2088883883WikidataQ123136241 ScholiaQ123136241MaRDI QIDQ5423912

Jonathan M. Rosenberg

Publication date: 1 November 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509526

zbMATH Keywords

Novikov conjecturecomplex projective varietyMishchenko-Fomenko indexTodd classcharacteristic numberbirational invariant

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Rational and birational maps (14E05) Topological aspects of complex manifolds (32Q55) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77)

Related Items (4)

HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES ⋮ The Hodge ring of Kähler manifolds ⋮ A note on higher Todd genera of complex manifolds ⋮ Novikov’s Conjecture

Cites Work

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• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Torification and factorization of birational maps
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