Stiefel orientations on a real algebraic variety

ON EQUIVARIANT GROTHENDIECK COHOMOLOGY OF A REAL ALGEBRAIC VARIETY, AND ITS APPLICATIONS

Izvestiya Mathematics ◽

10.1070/im1995v044n03abeh001608 ◽

1995 ◽

Vol 44 (3) ◽

pp. 461-477 ◽

Cited By ~ 5

Author(s):

Vyacheslav A Krasnov

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety

Vanishing of characteristic classes of a real algebraic variety

Real Algebraic Geometry and Topology - Contemporary Mathematics ◽

10.1090/conm/182/02083 ◽

1995 ◽

pp. 1-9

Author(s):

Alexander Degtyarev

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety ◽

Characteristic Classes

The etale and equivariant cohomology of a real algebraic variety

Izvestiya Mathematics ◽

10.1070/im1998v062n05abeh000214 ◽

1998 ◽

Vol 62 (5) ◽

pp. 1013-1034 ◽

Cited By ~ 2

Author(s):

Vyacheslav A Krasnov

Keyword(s):

Algebraic Variety ◽

Equivariant Cohomology ◽

Real Algebraic Variety

Real algebraic variety structures on P. L. manifolds

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1977-14307-3 ◽

1977 ◽

Vol 83 (2) ◽

pp. 281-283

Author(s):

Selman Akbulut ◽

Henry C. King

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety

Virtual Poincaré polynomial of the link of a real algebraic variety

Mathematische Zeitschrift ◽

10.1007/s00209-012-1043-7 ◽

2012 ◽

Vol 273 (3-4) ◽

pp. 1053-1061 ◽

Cited By ~ 2

Author(s):

Goulwen Fichou ◽

Masahiro Shiota

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety ◽

Poincaré Polynomial ◽

Virtual Poincaré Polynomial

An Integral Formula for the Complex Intersection Number of Real Cycles in a Real Algebraic Variety with Topologically Rational Singularities

Journal of Mathematical Sciences ◽

10.1023/b:joth.0000008750.14138.a7 ◽

2004 ◽

Vol 119 (1) ◽

pp. 124-127

Author(s):

S. M. Finashin

Keyword(s):

Algebraic Variety ◽

Integral Formula ◽

Intersection Number ◽

Real Algebraic Variety ◽

Rational Singularities

Symplectic complex bundles over real algebraic four-folds

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics ◽

10.1017/s1446788700033152 ◽

1989 ◽

Vol 47 (3) ◽

pp. 430-437

Author(s):

Wojciech Kucharz

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety ◽

Bilinear Forms ◽

Cohomology Groups ◽

Witt Group ◽

Regular Functions

AbstractLetXbe a compact affine real algebraic variety of dimension 4. We compute the Witt group of symplectic bilinear forms over the ring of regular functions fromXto C. The Witt group is expressed in terms of some subgroups of the cohomology groups.

Complex vector bundles on real algebraic varieties of small dimension

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700027696 ◽

1988 ◽

Vol 38 (3) ◽

pp. 345-349

Author(s):

Wojciech Kucharz

Keyword(s):

Algebraic Variety ◽

Vector Bundles ◽

Small Dimension ◽

Real Algebraic Variety ◽

Algebraic Varieties ◽

Complex Vector ◽

Real Algebraic Varieties ◽

Continuous Complex

LetXbe an affine real algebraic variety. In this paper, assuming that dimX≤ 7 and thatXsatisfies some other reasonable conditions, we give a characterisation of those continuous complex vector bundles onXwhich are topologically isomorphic to algebraic complex vector bundles onX.

ON HOMOLOGY CLASSES DETERMINED BY REAL POINTS OF A REAL ALGEBRAIC VARIETY

Mathematics of the USSR-Izvestiya ◽

10.1070/im1992v038n02abeh002199 ◽

1992 ◽

Vol 38 (2) ◽

pp. 277-297

Author(s):

Vyacheslav A Krasnov

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety

Approximation of Smooth Maps by Real Algebraic Morphisms

Canadian Mathematical Bulletin ◽

10.4153/cmb-1997-054-x ◽

1997 ◽

Vol 40 (4) ◽

pp. 456-463

Author(s):

Wojciech Kucharz ◽

Kamil Rusek

Keyword(s):

Algebraic Variety ◽

Real Algebraic Variety ◽

Compact Open Topology ◽

Grassmann Space ◽

Smooth Maps ◽

Vector Subspaces

AbstractLet𝔾p,q(𝔽) be the Grassmann space of allq-dimensional𝔽-vector subspaces of𝔽p, where𝔽stands forℝ,ℂorℍ(the quaternions). Here𝔾p,q(𝔽) is regarded as a real algebraic variety. The paper investigates which C∞maps from a nonsingular real algebraic varietyXinto𝔾p,q(𝔽) can be approximated, in theC∞compact-open topology, by real algebraic morphisms.