منابع مشابه
Homotopy Rigidity for Grassmannians
Two n-dimensional unitary representations which differ by complex conjugation or tensoring with a character induce topologicalry equivalent actions on the Grassmann manifold of complex m-planes in «-space. This paper shows under modest dimension hypotheses that only such projectively equivalent linear representations of compact connected Lie groups can give topologicalry conjugate actions. A li...
متن کاملHomology rigidity of Grassmannians
Combining the theory of Gröbner basis with the Schubert presentation for the cohomology of Grassmannians [DZ1], we generalize the homology rigidity results known for the classical Grassmanians to the exceptional cases. Email: [email protected] 2000 Mathematics subject classification: 55S37
متن کاملRigidity of Schubert Classes in Orthogonal Grassmannians
A Schubert class σ in the cohomology of a homogeneous variety X is called rigid if the only projective subvarieties of X representing σ are Schubert varieties. A Schubert class σ is called multi rigid if the only projective subvarieties representing positive integral multiples of σ are unions of Schubert varieties. In this paper, we discuss the rigidity and multi rigidity of Schubert classes in...
متن کاملRigidity of Periodic Diffeomorphisms on Homotopy K3 Surfaces
In this paper we show that homotopy K3 surfaces do not admit a periodic diffeomorphism of odd prime order 3 acting trivially on cohomology. This gives a negative answer for period 3 to Problem 4.124 in the Kirby’s problem list. In addition, we give an obstruction in terms of the rationality and sign of the spin numbers to the existence of a periodic diffeomorphism of odd prime order acting triv...
متن کاملHomology rigidity of Grassmannians Dedicated to Professor Wenjun Wu on his 90th birthday
Applying the theory of Gröbner basis to the Schubert presentation for the cohomology of Grassmannians [DZ1], we extend the homology rigidity results known for the classical Grassmanians to the exceptional cases. 2000 Mathematics subject classification: 55S37
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.2307/2042971