augustin-liviu mare

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PUBLICATION LIST

(Some of these are preprints that differ slightly from the final published versions.)

• (with Matthieu Willems) Topology of the octonionic flag manifold, to appear in the Münster J. Math., 41 pp.
  

• (with Peter Quast) Bott periodicity for inclusions of symmetric spaces, Doc. Math. 17 (2012), pp. 911-952

• (with Peter Quast) On some spaces of minimal geodesics in Riemannian symmetric spaces, Quart. J. Math. 63 (2012), 681-694
  

• (with Jost-Hinrich Eschenburg and Peter Quast) Pluriharmonic maps into outer symmetric spaces and a subdivison of Weyl chambers, Bull. London Math. Soc. 42 (2010), pp. 1121-1133

• Connectedness of levels for moment maps on various classes of loop groups, Osaka J. Math. 47 (2010), pp. 609-626

• A quantum type deformation of the cohomology ring of flag manifolds,  J. Lie Theory 20 (2010), pp. 329-346
  

• (with Lisa C. Jeffrey) Real loci of based loop groups, Transform. Groups 15 (2010), pp. 134-153

• On some symplectic quotients of Schubert varieties, Beitr. Algebra Geom. 51 (2010), pp. 9-30
  

• (with Matthieu Willems) Equivariant K-theory of quaternionic flag manifolds, J. K-Theory 4 (2009), pp. 537-557
  

• A characterization of the quantum cohomology ring of G/B and applications, Canad. J. Math. 60 (2008), pp. 875-891

• Equivariant  cohomology of quaternionic flag manifolds, J. Algebra 319 (2008), pp. 2830-2844

• (with M. Harada, T. Holm and L. C. Jeffrey) Connectivity properties of moment maps on based loop groups, Geometry and Topology 10 (2006), pp. 2001-2028

• (with Jost-Hinrich Eschenburg) Steepest descent on real flag manifolds, Bull. London Math. Soc. 38 (2006), pp. 323-328

• Equivariant cohomology of real flag manifolds, Diff. Geom. Appl. 24 (2006), pp. 223-229

• (with Lisa C. Jeffrey and Jon Woolf) The Kirwan map, equivariant Kirwan maps and their kernels, J. Reine Angew. Math.  589 (2005), pp. 105-127

• The combinatorial quantum cohomology ring of G/B, Jour. Alg. Comb. 21 (2005), pp. 331-349

• (with Lisa C. Jeffrey) Products of conjugacy classes in SU(2), Canad. Math. Bull. 48 (2005), pp. 90-96

• Connectivity and Kirwan surjectivity for isoparametric submanifolds, Int. Math. Res. Not. 2005, Issue 55, pp. 3427-3443

• (with Rebecca F. Goldin) Cohomology of reduced spaces of generic coadjoint orbits, Proc. Amer. Math. Soc. 132 (2004), pp. 3069-3074

• Quantum cohomology of the infinite dimensional generalized flag manifolds, Adv. Math. 185 (2004), pp. 347-369

• Relations in the quantum cohomology ring of G/B,  Math. Res. Lett. 11 (2004),  pp. 35--48

• (with Lisa C. Jeffrey) The kernel of the equivariant Kirwan map and the residue formula, Quart. J. Math. Oxford 54 (2004), pp. 435-444

• Polynomial representatives of Schubert classes in QH*(G/B), Math. Res. Lett. 9 (2002), pp. 757-769

• On the theorem of Kim concerning QH*(G/B), Integrable Systems, Topology and Physics (eds. M. Guest, R. Miyaoka, Y. Ohnita),  Contemp. Math. 309, A.M.S. (2002), pp. 151-163

• Cohomology of isoparametric hypersurfaces in Hilbert space, Geometriae Dedicata 85 (2001), pp. 21-43
  

• On two results of Singhof, Comm. Math. Univ. Carolinae 38 (1997), pp. 379-383