s-Cobordism Classification of 4-Manifolds Through the Group of Homotopy Self-equivalences

Hegenbarth, Friedrich
Pamuk, Mehmetcik
Repovs, Dusan
The aim of this paper is to give an s-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we give an s-cobordism classification for certain 4-manifolds with fundamental group pi, such that cd pi <= 2.


On maximal curves and linearized permutation polynomials over finite fields
Özbudak, Ferruh (Elsevier BV, 2001-08-08)
The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
The classical involution theorem for groups of finite Morley rank
Berkman, A (Elsevier BV, 2001-09-15)
This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.
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Axial vector transition form factors of N -> Delta in QCD
Küçükarslan, Ayşe; Özdem, Ulaş; Özpineci, Altuğ (Elsevier BV, 2016-12)
The isovector axial vector form factors of N -> Delta transition are calculated by employing Light-cone QCD sum rules. The analytical results are analyzedby both the conventional method, and also by a Monte Carlo based approach which allows one to scan all of the parameter space. The predictions are also compared with the results in the literature, where available. Although the MonteCarlo analysis predicts large uncertainties in the predicted results, the predictions obtained by the conventional analysis ar...
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Özbudak, Ferruh; Cenk, Murat (2013-10-01)
In this paper, Hermite polynomial representation is proposed as an alternative way to represent finite fields of characteristic two. We show that multiplication in Hermite polynomial representation can be achieved with subquadratic space complexity. This representation enables us to find binomial or trinomial irreducible polynomials which allows us faster modular reduction over binary fields when there is no desirable such low weight irreducible polynomial in other representations. We then show that the pro...
Citation Formats
F. Hegenbarth, M. Pamuk, and D. Repovs, “s-Cobordism Classification of 4-Manifolds Through the Group of Homotopy Self-equivalences,” MEDITERRANEAN JOURNAL OF MATHEMATICS, pp. 1107–1121, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42948.