INDEX THEORY AND GROUPOIDS CLAIRE DEBORD AND JEAN-MARIE LESCURE Abstract. These lecture notes are mainly devoted to a proof using groupoids and KK-theory of Atiyah and Singer’s index theorem on compact smooth manifolds

Source URL: math.univ-bpclermont.fr

• Algebra
• Mathematics
• Abstract algebra
• Homotopy theory
• Category theory
• Algebraic structures
• Differential geometry
• Algebraic topology
• Groupoid
• Lie algebroid
• Group action
• Equivalence relation

CURVES OF LOW DEGREES IN FANO VARIETIES OLIVIER DEBARRE Abstract. We work over the complex numbers. Fano manifolds are smooth projective varieties whose canonical bundle is antiample. In dimensions at most 3, they are al

Source URL: www.math.ens.fr

• Abstract algebra
• Algebra
• Geometry
• Algebraic geometry
• Fano variety
• Birational geometry
• Divisor
• Projective variety
• Coherent sheaf
• Hodge structure
• Cohomology
• Ample line bundle

Exotic Cyclic Group Actions on Smooth 4-Manifolds Ronald J. Stern University of California, Irvine April 25, 2009

Source URL: faculty.sites.uci.edu

International Euler Symposium University of Basel Euler, Polyhedron, and Smooth 4-Manifolds Ronald J. Stern

Source URL: faculty.sites.uci.edu

Getting to the heart of smooth 4-manifolds Ronald J. Stern University of California, Irvine April 24, 2009

Source URL: faculty.sites.uci.edu

EXTREMAL FUNCTIONS FOR MOSER-TRUDINGER TYPE INEQUALITY ON COMPACT CLOSED 4-MANIFOLDS YUXIANG LI, CHEIKH BIRAHIM NDIAYE Abstract. Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of e

Source URL: faculty.math.tsinghua.edu.cn

MODULAR SYMBOLS AND THE TOPOLOGICAL NONRIGIDITY OF ARITHMETIC MANIFOLDS STANLEY CHANG, SHMUEL WEINBERGER Abstract. In this paper we address the existence of smooth manifolds proper homotopy equivalent to nonuniform arith

Source URL: math.uchicago.edu

MONOPOLE CLASSES AND PERELMAN’S INVARIANT OF FOUR-MANIFOLDS D. KOTSCHICK A BSTRACT. We calculate Perelman’s invariant for compact complex surfaces and a few other smooth four-manifolds. We also prove some results con

Source URL: 129.187.111.185

ENTROPIES, VOLUMES, AND EINSTEIN METRICS D. KOTSCHICK A BSTRACT. We survey the definitions and some important properties of several asymptotic invariants of smooth manifolds, and discuss some open questions related to th

Source URL: 129.187.111.185

Lorentzian quasi-Einstein manifolds by S. Gavino-Fern´andez Email: A pseudo-Riemannian manifold (M, g) of dimension n + 2, n ≥ 1, is quasi-Einstein if there exists a smooth function f : M → R su

Source URL: gigda.ugr.es